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20232244413200 = 245250580611033
BaseRepresentation
bin1001001100110101011111…
…01111011100001100010000
32122122011221220022002122002
410212122233233130030100
510122441114032210300
6111010321553533132
74155505606662311
oct446325757341420
978564856262562
1020232244413200
1164a04a0577106
1223291898741a8
13b39b7a979b41
144dd3628a6608
15251448ec55d5
hex1266afbdc310

20232244413200 has 30 divisors (see below), whose sum is σ = 48607967203674. Its totient is φ = 8092897765120.

The previous prime is 20232244413191. The next prime is 20232244413263. The reversal of 20232244413200 is 231444223202.

It can be written as a sum of positive squares in 3 ways, for example, as 25385411584 + 20206859001616 = 159328^2 + 4495204^2 .

It is a super-2 number, since 2×202322444132002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25290305117 + ... + 25290305916.

Almost surely, 220232244413200 is an apocalyptic number.

20232244413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232244413200 is an abundant number, since it is smaller than the sum of its proper divisors (28375722790474).

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

20232244413200 is a wasteful number, since it uses less digits than its factorization.

20232244413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50580611051 (or 50580611040 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 20232244413200 its reverse (231444223202), we get a palindrome (20463688636402).

The spelling of 20232244413200 in words is "twenty trillion, two hundred thirty-two billion, two hundred forty-four million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50580611033 101161222066 202322444132 252903055165 404644888264 505806110330 809289776528 1011612220660 1264515275825 2023224441320 2529030551650 4046448882640 5058061103300 10116122206600 20232244413200