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23216142100 = 2252376274633
BaseRepresentation
bin10101100111110010…
…100011011100010100
32012220222021012210211
4111213302203130110
5340021313021400
614355414255204
71451213644324
oct254762433424
965828235724
1023216142100
1199339a81a8
1245bb057504
13225caa88b8
1411a34b3284
1590d2a6dba
hex567ca3714

23216142100 has 36 divisors (see below), whose sum is σ = 51740631964. Its totient is φ = 9035470080.

The previous prime is 23216142077. The next prime is 23216142113. The reversal of 23216142100 is 124161232.

It can be written as a sum of positive squares in 6 ways, for example, as 258437776 + 22957704324 = 16076^2 + 151518^2 .

It is a super-3 number, since 3×232161421003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3133617 + ... + 3141016.

Almost surely, 223216142100 is an apocalyptic number.

23216142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23216142100 is an abundant number, since it is smaller than the sum of its proper divisors (28524489864).

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

23216142100 is a wasteful number, since it uses less digits than its factorization.

23216142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274684 (or 6274677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 23216142100 in words is "twenty-three billion, two hundred sixteen million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 6274633 12549266 25098532 31373165 62746330 125492660 156865825 232161421 313731650 464322842 627463300 928645684 1160807105 2321614210 4643228420 5804035525 11608071050 23216142100