Search a number
-
+
222242021103100 = 225223159760505301
BaseRepresentation
bin110010100010000011000000…
…101110001101010111111100
31002010220010111120100022102111
4302202003000232031113330
5213112203124400244400
62104400324112503404
764545312314306245
oct6242030056152774
91063803446308374
10222242021103100
11648a4348091049
1220b13bab24ab64
139701442b3129b
143cc47dd5adccc
151aa60594de3ba
hexca20c0b8d5fc

222242021103100 has 72 divisors (see below), whose sum is σ = 503548357279968. Its totient is φ = 84978483744000.

The previous prime is 222242021103043. The next prime is 222242021103107. The reversal of 222242021103100 is 1301120242222.

It is a super-2 number, since 2×2222420211031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222242021103107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26579551 + ... + 33925750.

It is an arithmetic number, because the mean of its divisors is an integer number (6993727184444).

Almost surely, 2222242021103100 is an apocalyptic number.

222242021103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222242021103100 is an abundant number, since it is smaller than the sum of its proper divisors (281306336176868).

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

222242021103100 is a wasteful number, since it uses less digits than its factorization.

222242021103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60506935 (or 60506928 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 222242021103100 its reverse (1301120242222), we get a palindrome (223543141345322).

The spelling of 222242021103100 in words is "two hundred twenty-two trillion, two hundred forty-two billion, twenty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1597 2300 3194 6388 7985 15970 31940 36731 39925 73462 79850 146924 159700 183655 367310 734620 918275 1836550 3673100 60505301 121010602 242021204 302526505 605053010 1210106020 1391621923 1512632525 2783243846 3025265050 5566487692 6050530100 6958109615 13916219230 27832438460 34790548075 69581096150 96626965697 139162192300 193253931394 386507862788 483134828485 966269656970 1932539313940 2222420211031 2415674142425 4444840422062 4831348284850 8889680844124 9662696569700 11112101055155 22224202110310 44448404220620 55560505275775 111121010551550 222242021103100