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22434112100 = 2252224341121
BaseRepresentation
bin10100111001001011…
…010110001001100100
32010220110201222022202
4110321023112021210
5331421113041400
614150040514032
71422636543431
oct247113261144
963813658282
1022434112100
119572520514
12442117b918
132166a7815a
14112b6a4b88
158b47ce4d5
hex5392d6264

22434112100 has 18 divisors (see below), whose sum is σ = 48682023474. Its totient is φ = 8973644800.

The previous prime is 22434112013. The next prime is 22434112109. The reversal of 22434112100 is 121143422.

It can be written as a sum of positive squares in 3 ways, for example, as 2550856036 + 19883256064 = 50506^2 + 141008^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22434112109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112170461 + ... + 112170660.

Almost surely, 222434112100 is an apocalyptic number.

22434112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434112100 is an abundant number, since it is smaller than the sum of its proper divisors (26247911374).

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

22434112100 is a wasteful number, since it uses less digits than its factorization.

22434112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224341135 (or 224341128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22434112100 its reverse (121143422), we get a palindrome (22555255522).

The spelling of 22434112100 in words is "twenty-two billion, four hundred thirty-four million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 224341121 448682242 897364484 1121705605 2243411210 4486822420 5608528025 11217056050 22434112100