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22004442400 = 255227505553
BaseRepresentation
bin10100011111100100…
…010010010100100000
32002210112020111022011
4110133210102110200
5330031114124100
614035251322304
71406201450203
oct243744222440
962715214264
1022004442400
119371a30296
1243212b0394
1320c8a49025
1410ca5b993a
1588bc09bba
hex51f912520

22004442400 has 36 divisors (see below), whose sum is σ = 53718346962. Its totient is φ = 8801776640.

The previous prime is 22004442353. The next prime is 22004442403. The reversal of 22004442400 is 424440022.

It can be written as a sum of positive squares in 3 ways, for example, as 14196245904 + 7808196496 = 119148^2 + 88364^2 .

It is not an unprimeable number, because it can be changed into a prime (22004442403) 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, 13751977 + ... + 13753576.

Almost surely, 222004442400 is an apocalyptic number.

22004442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004442400 is an abundant number, since it is smaller than the sum of its proper divisors (31713904562).

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

22004442400 is a wasteful number, since it uses less digits than its factorization.

22004442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27505573 (or 27505560 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22004442400 its reverse (424440022), we get a palindrome (22428882422).

The spelling of 22004442400 in words is "twenty-two billion, four million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 27505553 55011106 110022212 137527765 220044424 275055530 440088848 550111060 687638825 880177696 1100222120 1375277650 2200444240 2750555300 4400888480 5501110600 11002221200 22004442400