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23003230032 = 24321361117373
BaseRepresentation
bin10101011011000110…
…010110111101010000
32012101010122011100200
4111123012112331100
5334102311330112
614322331015200
71443020141406
oct253306267520
965333564320
1023003230032
1198347a6212
12455b89a500
132227950423
1411830cd476
158e974bcdc
hex55b196f50

23003230032 has 60 divisors (see below), whose sum is σ = 64424945364. Its totient is φ = 7662044160.

The previous prime is 23003230027. The next prime is 23003230109.

23003230032 is a `hidden beast` number, since 2 + 300 + 32 + 300 + 32 = 666.

23003230032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 8409623616 + 14593606416 = 91704^2 + 120804^2 .

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 = 23003229987 and 23003230014.

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, 137298 + ... + 254670.

Almost surely, 223003230032 is an apocalyptic number.

It is an amenable number.

23003230032 is an abundant number, since it is smaller than the sum of its proper divisors (41421715332).

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

23003230032 is a wasteful number, since it uses less digits than its factorization.

23003230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118748 (or 118739 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The spelling of 23003230032 in words is "twenty-three billion, three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1361 2722 4083 5444 8166 10888 12249 16332 21776 24498 32664 48996 65328 97992 117373 195984 234746 352119 469492 704238 938984 1056357 1408476 1877968 2112714 2816952 4225428 5633904 8450856 16901712 159744653 319489306 479233959 638978612 958467918 1277957224 1437701877 1916935836 2555914448 2875403754 3833871672 5750807508 7667743344 11501615016 23003230032