Search a number
-
+
22200210113220 = 22325547761296287
BaseRepresentation
bin1010000110000111000111…
…01000110100001011000100
32220121022121210221220021100
411003003203220310023010
510402212012242110340
6115114345152420100
74450624621301646
oct503034350641304
986538553856240
1022200210113220
11708a06893a207
1225a6671547630
13c50617552809
1456a6d2a84896
1528772998d830
hex1430e3a342c4

22200210113220 has 144 divisors (see below), whose sum is σ = 67552625806848. Its totient is φ = 5901448250880.

The previous prime is 22200210113219. The next prime is 22200210113311. The reversal of 22200210113220 is 2231101200222.

22200210113220 is a `hidden beast` number, since 2 + 220 + 0 + 210 + 1 + 13 + 220 = 666.

It is a super-2 number, since 2×222002101132202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22200210113193 and 22200210113202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74779917 + ... + 75076203.

It is an arithmetic number, because the mean of its divisors is an integer number (469115456992).

Almost surely, 222200210113220 is an apocalyptic number.

22200210113220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200210113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33776312903424).

22200210113220 is an abundant number, since it is smaller than the sum of its proper divisors (45352415693628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22200210113220 is a wasteful number, since it uses less digits than its factorization.

22200210113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297610 (or 297605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22200210113220 its reverse (2231101200222), we get a palindrome (24431311313442).

The spelling of 22200210113220 in words is "twenty-two trillion, two hundred billion, two hundred ten million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 547 761 1094 1522 1641 2188 2283 2735 3044 3282 3805 4566 4923 5470 6564 6849 7610 8205 9132 9846 10940 11415 13698 15220 16410 19692 22830 24615 27396 32820 34245 45660 49230 68490 98460 136980 296287 416267 592574 832534 888861 1185148 1248801 1481435 1665068 1777722 2081335 2497602 2666583 2962870 3555444 3746403 4162670 4444305 4995204 5333166 5925740 6244005 7492806 8325340 8888610 10666332 12488010 13332915 14985612 17777220 18732015 24976020 26665830 37464030 53331660 74928060 162068989 225474407 324137978 450948814 486206967 648275956 676423221 810344945 901897628 972413934 1127372035 1352846442 1458620901 1620689890 1944827868 2029269663 2254744070 2431034835 2705692884 2917241802 3241379780 3382116105 4058539326 4509488140 4862069670 5834483604 6764232210 7293104505 8117078652 9724139340 10146348315 13528464420 14586209010 20292696630 29172418020 40585393260 123334500629 246669001258 370003501887 493338002516 616672503145 740007003774 1110010505661 1233345006290 1480014007548 1850017509435 2220021011322 2466690012580 3700035018870 4440042022644 5550052528305 7400070037740 11100105056610 22200210113220