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23040544224 = 253769312101
BaseRepresentation
bin10101011101010100…
…101100110111100000
32012110201211220210210
4111131110230313200
5334141334403344
614330142454120
71443652252215
oct253524546740
965421756723
1023040544224
119853871995
124570294340
1322325b6629
141188043b0c
158ecb6cdb9
hex55d52cde0

23040544224 has 48 divisors (see below), whose sum is σ = 60560272080. Its totient is φ = 7670169600.

The previous prime is 23040544157. The next prime is 23040544243. The reversal of 23040544224 is 42244504032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 23040544191 and 23040544200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82227 + ... + 229874.

It is an arithmetic number, because the mean of its divisors is an integer number (1261672335).

Almost surely, 223040544224 is an apocalyptic number.

23040544224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23040544224 is an abundant number, since it is smaller than the sum of its proper divisors (37519727856).

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

23040544224 is a wasteful number, since it uses less digits than its factorization.

23040544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312883 (or 312875 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 23040544224 in words is "twenty-three billion, forty million, five hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 769 1538 2307 3076 4614 6152 9228 12304 18456 24608 36912 73824 312101 624202 936303 1248404 1872606 2496808 3745212 4993616 7490424 9987232 14980848 29961696 240005669 480011338 720017007 960022676 1440034014 1920045352 2880068028 3840090704 5760136056 7680181408 11520272112 23040544224