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23022411400 = 2352115112057
BaseRepresentation
bin10101011100001111…
…100001111010001000
32012102110201200020201
4111130033201322020
5334122214131100
614324254101544
71443342160642
oct253417417210
965373650221
1023022411400
11984460748a
1245661aa8b4
13222b908051
141185883892
158eb28a36a
hex55c3e1e88

23022411400 has 24 divisors (see below), whose sum is σ = 53527106970. Its totient is φ = 9208964480.

The previous prime is 23022411341. The next prime is 23022411409. The reversal of 23022411400 is 411422032.

It can be written as a sum of positive squares in 3 ways, for example, as 19593840484 + 3428570916 = 139978^2 + 58554^2 .

It is not an unprimeable number, because it can be changed into a prime (23022411409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57555829 + ... + 57556228.

Almost surely, 223022411400 is an apocalyptic number.

23022411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23022411400 is an abundant number, since it is smaller than the sum of its proper divisors (30504695570).

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

23022411400 is a wasteful number, since it uses less digits than its factorization.

23022411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115112073 (or 115112064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 23022411400 its reverse (411422032), we get a palindrome (23433833432).

The spelling of 23022411400 in words is "twenty-three billion, twenty-two million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 115112057 230224114 460448228 575560285 920896456 1151120570 2302241140 2877801425 4604482280 5755602850 11511205700 23022411400