Search a number
-
+
22200202010120 = 2355397139977167
BaseRepresentation
bin1010000110000111000110…
…01001111001111000001000
32220121022121020201012220112
411003003203021321320020
510402212003203310440
6115114344303013452
74450624462362521
oct503034311717010
986538536635815
1022200202010120
11708a064305232
1225a666a89a288
13c50615976494
1456a6d1975848
15287728ddc965
hex1430e3279e08

22200202010120 has 128 divisors (see below), whose sum is σ = 51455005056000. Its totient is φ = 8616437047296.

The previous prime is 22200202010101. The next prime is 22200202010177. The reversal of 22200202010120 is 2101020200222.

It is a junction number, because it is equal to n+sod(n) for n = 22200202010095 and 22200202010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287651777 + ... + 287728943.

It is an arithmetic number, because the mean of its divisors is an integer number (401992227000).

Almost surely, 222200202010120 is an apocalyptic number.

22200202010120 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 22200202010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727502528000).

22200202010120 is an abundant number, since it is smaller than the sum of its proper divisors (29254803045880).

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

22200202010120 is a wasteful number, since it uses less digits than its factorization.

22200202010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78727 (or 78723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22200202010120 its reverse (2101020200222), we get a palindrome (24301222210342).

The spelling of 22200202010120 in words is "twenty-two trillion, two hundred billion, two hundred two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 97 106 194 212 265 388 424 485 530 776 970 1060 1399 1940 2120 2798 3880 5141 5596 6995 10282 11192 13990 20564 25705 27980 41128 51410 55960 74147 77167 102820 135703 148294 154334 205640 271406 296588 308668 370735 385835 542812 593176 617336 678515 741470 771670 1085624 1357030 1482940 1543340 2714060 2965880 3086680 4089851 5428120 7192259 7485199 8179702 14384518 14970398 16359404 20449255 28769036 29940796 32718808 35961295 37425995 40898510 57538072 59881592 71922590 74851990 81797020 107956633 143845180 149703980 163594040 215913266 287690360 299407960 396715547 431826532 539783165 793431094 863653064 1079566330 1586862188 1983577735 2159132660 3173724376 3967155470 4318265320 5721701549 7934310940 10471793401 11443403098 15868621880 20943586802 22886806196 28608507745 41887173604 45773612392 52358967005 57217015490 83774347208 104717934010 114434030980 209435868020 228868061960 418871736040 555005050253 1110010100506 2220020201012 2775025251265 4440040402024 5550050502530 11100101005060 22200202010120