Search a number
-
+
23212525200 = 2435261674733
BaseRepresentation
bin10101100111100100…
…110000011010010000
32012220201110110100120
4111213210300122100
5340014401301300
614355204550240
71451141131404
oct254744603220
965821413316
1023212525200
119931957827
1245b99b2380
13225c110517
1411a2c11104
1590cce03a0
hex567930690

23212525200 has 240 divisors, whose sum is σ = 76720643136. Its totient is φ = 5996390400.

The previous prime is 23212525157. The next prime is 23212525211. The reversal of 23212525200 is 252521232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4902034 + ... + 4906766.

Almost surely, 223212525200 is an apocalyptic number.

23212525200 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 23212525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38360321568).

23212525200 is an abundant number, since it is smaller than the sum of its proper divisors (53508117936).

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

23212525200 is a wasteful number, since it uses less digits than its factorization.

23212525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 23212525200 in words is "twenty-three billion, two hundred twelve million, five hundred twenty-five thousand, two hundred".