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22469030640 = 2434571929231
BaseRepresentation
bin10100111011010000…
…100011001011110000
32010222220110000120000
4110323100203023300
5332004032440030
614153325150000
71423542415650
oct247320431360
963886400500
1022469030640
119590200311
1244309bb300
132171082b04
141132194360
158b78ca860
hex53b4232f0

22469030640 has 1200 divisors, whose sum is σ = 100365957120. Its totient is φ = 4546160640.

The previous prime is 22469030581. The next prime is 22469030677. The reversal of 22469030640 is 4603096422.

22469030640 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 9 + 0 + 3 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22469030595 and 22469030604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 724807425 + ... + 724807455.

Almost surely, 222469030640 is an apocalyptic number.

22469030640 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 22469030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182978560).

22469030640 is an abundant number, since it is smaller than the sum of its proper divisors (77896926480).

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

22469030640 is a wasteful number, since it uses less digits than its factorization.

22469030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 22469030640 in words is "twenty-two billion, four hundred sixty-nine million, thirty thousand, six hundred forty".