Search a number
-
+
222113100120 = 23353752395651
BaseRepresentation
bin1100111011011011111…
…0001111000101011000
3210020022102222120011120
43032312332033011120
512114341423200440
6250012022325240
722022112125442
oct3166676170530
9706272876146
10222113100120
118621a06665a
1237069289820
1317c397205c2
14aa70ca3492
155b9e993dd0
hex33b6f8f158

222113100120 has 128 divisors (see below), whose sum is σ = 685664144640. Its totient is φ = 57518553600.

The previous prime is 222113100113. The next prime is 222113100163. The reversal of 222113100120 is 21001311222.

It is a super-3 number, since 3×2221131001203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222113100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274295 + ... + 2369945.

It is an arithmetic number, because the mean of its divisors is an integer number (5356751130).

Almost surely, 2222113100120 is an apocalyptic number.

222113100120 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 222113100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342832072320).

222113100120 is an abundant number, since it is smaller than the sum of its proper divisors (463551044520).

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

222113100120 is a wasteful number, since it uses less digits than its factorization.

222113100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96225 (or 96221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 222113100120 its reverse (21001311222), we get a palindrome (243114411342).

The spelling of 222113100120 in words is "two hundred twenty-two billion, one hundred thirteen million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 523 555 740 888 1046 1110 1480 1569 2092 2220 2615 3138 4184 4440 5230 6276 7845 10460 12552 15690 19351 20920 31380 38702 58053 62760 77404 95651 96755 116106 154808 191302 193510 232212 286953 290265 382604 387020 464424 478255 573906 580530 765208 774040 956510 1147812 1161060 1434765 1913020 2295624 2322120 2869530 3539087 3826040 5739060 7078174 10617261 11478120 14156348 17695435 21234522 28312696 35390870 42469044 50025473 53086305 70781740 84938088 100050946 106172610 141563480 150076419 200101892 212345220 250127365 300152838 400203784 424690440 500254730 600305676 750382095 1000509460 1200611352 1500764190 1850942501 2001018920 3001528380 3701885002 5552827503 6003056760 7403770004 9254712505 11105655006 14807540008 18509425010 22211310012 27764137515 37018850020 44422620024 55528275030 74037700040 111056550060 222113100120