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22155150400 = 265213846969
BaseRepresentation
bin10100101000100011…
…001100010001000000
32010012000211020210221
4110220203030101000
5330333204303100
614102233432424
71413011446135
oct245043142100
963160736727
1022155150400
11943a006459
12436386b714
132121035266
14110260a58c
1589a07901a
hex5288cc440

22155150400 has 42 divisors (see below), whose sum is σ = 54515520890. Its totient is φ = 8862059520.

The previous prime is 22155150389. The next prime is 22155150419. The reversal of 22155150400 is 405155122.

It can be written as a sum of positive squares in 3 ways, for example, as 1181159424 + 20973990976 = 34368^2 + 144824^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6921885 + ... + 6925084.

Almost surely, 222155150400 is an apocalyptic number.

22155150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22155150400 is an abundant number, since it is smaller than the sum of its proper divisors (32360370490).

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

22155150400 is a wasteful number, since it uses less digits than its factorization.

22155150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846991 (or 13846976 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 22155150400 in words is "twenty-two billion, one hundred fifty-five million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 13846969 27693938 55387876 69234845 110775752 138469690 221551504 276939380 346174225 443103008 553878760 692348450 886206016 1107757520 1384696900 2215515040 2769393800 4431030080 5538787600 11077575200 22155150400