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23528232000 = 263553721319
BaseRepresentation
bin10101111010011001…
…000101010001000000
32020201201112000200000
4111322121011101000
5341141211411000
614450403400000
71462023446400
oct257231052100
966651460600
1023528232000
119a84089a39
124687683000
1322ac64a590
1411d2b12800
1592a8a3000
hex57a645440

23528232000 has 2016 divisors, whose sum is σ = 115096625280. Its totient is φ = 4702924800.

The previous prime is 23528231989. The next prime is 23528232001. The reversal of 23528232000 is 23282532.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23528232001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1238327991 + ... + 1238328009.

It is an arithmetic number, because the mean of its divisors is an integer number (57091580).

Almost surely, 223528232000 is an apocalyptic number.

23528232000 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 23528232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57548312640).

23528232000 is an abundant number, since it is smaller than the sum of its proper divisors (91568393280).

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

23528232000 is a wasteful number, since it uses less digits than its factorization.

23528232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 23528232000 in words is "twenty-three billion, five hundred twenty-eight million, two hundred thirty-two thousand".