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23040233120 = 2551011425757
BaseRepresentation
bin10101011101010011…
…100000111010100000
32012110201021010001102
4111131103200322200
5334141244424440
614330132053532
71443646515212
oct253523407240
965421233042
1023040233120
11985367a183
1245701642a8
132232507b48
141187da25b2
158ecb0ab15
hex55d4e0ea0

23040233120 has 48 divisors (see below), whose sum is σ = 54971525448. Its totient is φ = 9124838400.

The previous prime is 23040233119. The next prime is 23040233123. The reversal of 23040233120 is 2133204032.

It can be written as a sum of positive squares in 4 ways, for example, as 22011876496 + 1028356624 = 148364^2 + 32068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23040233092 and 23040233101.

It is not an unprimeable number, because it can be changed into a prime (23040233123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696719 + ... + 729038.

Almost surely, 223040233120 is an apocalyptic number.

23040233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23040233120 is an abundant number, since it is smaller than the sum of its proper divisors (31931292328).

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

23040233120 is a wasteful number, since it uses less digits than its factorization.

23040233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425873 (or 1425865 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23040233120 its reverse (2133204032), we get a palindrome (25173437152).

The spelling of 23040233120 in words is "twenty-three billion, forty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 1425757 2851514 5703028 7128785 11406056 14257570 22812112 28515140 45624224 57030280 114060560 144001457 228121120 288002914 576005828 720007285 1152011656 1440014570 2304023312 2880029140 4608046624 5760058280 11520116560 23040233120