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22438632840 = 233513294761173
BaseRepresentation
bin10100111001011100…
…100101110110001000
32010220210020122121120
4110321130211312020
5331423242222330
614150321435240
71423023142431
oct247134456610
963823218546
1022438632840
119575028a68
12442279bb20
13216799ba50
14112c120488
158b4dc3c10
hex539725d88

22438632840 has 512 divisors, whose sum is σ = 78294988800. Its totient is φ = 5104189440.

The previous prime is 22438632791. The next prime is 22438632883. The reversal of 22438632840 is 4823683422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22438632792 and 22438632801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129702994 + ... + 129703166.

It is an arithmetic number, because the mean of its divisors is an integer number (152919900).

Almost surely, 222438632840 is an apocalyptic number.

22438632840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22438632840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39147494400).

22438632840 is an abundant number, since it is smaller than the sum of its proper divisors (55856355960).

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

22438632840 is a wasteful number, since it uses less digits than its factorization.

22438632840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 22438632840 in words is "twenty-two billion, four hundred thirty-eight million, six hundred thirty-two thousand, eight hundred forty".