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23255504640 = 283258272441
BaseRepresentation
bin10101101010001000…
…101101011100000000
32020000201100001001200
4111222020231130000
5340111402122030
614403342101200
71452202346034
oct255210553400
966021301050
1023255504640
119954142925
12461027a800
132267cab244
1411a87dc1c4
1591197ed60
hex56a22d700

23255504640 has 216 divisors, whose sum is σ = 80591919408. Its totient is φ = 6191431680.

The previous prime is 23255504611. The next prime is 23255504707. The reversal of 23255504640 is 4640555232.

23255504640 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 5 + 5 + 0 + 4 + 640 = 666.

It is a super-2 number, since 2×232555046402 (a number of 22 digits) contains 22 as substring.

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 = 23255504595 and 23255504604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9525820 + ... + 9528260.

It is an arithmetic number, because the mean of its divisors is an integer number (373110738).

Almost surely, 223255504640 is an apocalyptic number.

23255504640 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 23255504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40295959704).

23255504640 is an abundant number, since it is smaller than the sum of its proper divisors (57336414768).

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

23255504640 is a wasteful number, since it uses less digits than its factorization.

23255504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 23255504640 in words is "twenty-three billion, two hundred fifty-five million, five hundred four thousand, six hundred forty".