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23622947040 = 253572111741131
BaseRepresentation
bin10110000000000010…
…011001000011100000
32020222022202001021110
4112000002121003200
5341334433301130
614504025423320
71464253510500
oct260002310340
966868661243
1023622947040
11a0225a0830
1246b333ab40
1322c6160694
141201529a00
15933d61ab0
hex5800990e0

23622947040 has 1152 divisors, whose sum is σ = 103205684736. Its totient is φ = 4472832000.

The previous prime is 23622947021. The next prime is 23622947059. The reversal of 23622947040 is 4074922632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23622947021) and next prime (23622947059).

It is a self number, because there is not a number n which added to its sum of digits gives 23622947040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180327775 + ... + 180327905.

It is an arithmetic number, because the mean of its divisors is an integer number (89588268).

Almost surely, 223622947040 is an apocalyptic number.

23622947040 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 23622947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51602842368).

23622947040 is an abundant number, since it is smaller than the sum of its proper divisors (79582737696).

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

23622947040 is a wasteful number, since it uses less digits than its factorization.

23622947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 23622947040 in words is "twenty-three billion, six hundred twenty-two million, nine hundred forty-seven thousand, forty".