Search a number
-
+
23235952221888 = 2637233891932341
BaseRepresentation
bin1010100100010000010101…
…01011011001111011000000
310001021100001110110120101220
411102020022223121323000
511021144212232100023
6121230241000355040
74615512362045310
oct522101253317300
9101240043416356
1023235952221888
1174493482a638a
122733349475a80
13cc71aa705983
145a48a9db3440
152a4648ec43e3
hex15220aad9ec0

23235952221888 has 224 divisors, whose sum is σ = 73504434631680. Its totient is φ = 6333870428160.

The previous prime is 23235952221883. The next prime is 23235952221901. The reversal of 23235952221888 is 88812225953232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23235952221883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11058598 + ... + 12990938.

Almost surely, 223235952221888 is an apocalyptic number.

23235952221888 is a gapful number since it is divisible by the number (28) 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 23235952221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36752217315840).

23235952221888 is an abundant number, since it is smaller than the sum of its proper divisors (50268482409792).

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

23235952221888 is a wasteful number, since it uses less digits than its factorization.

23235952221888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932775 (or 1932765 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 60.

The spelling of 23235952221888 in words is "twenty-three trillion, two hundred thirty-five billion, nine hundred fifty-two million, two hundred twenty-one thousand, eight hundred eighty-eight".