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22628468900 = 22521669135581
BaseRepresentation
bin10101000100110000…
…110000100010100100
32011102000110022201202
4111010300300202210
5332320342001100
614221222342032
71430516545352
oct250460604244
964360408652
1022628468900
1196621a9674
12447628a918
13219810798b
1411494187d2
158c68c17d5
hex544c308a4

22628468900 has 36 divisors (see below), whose sum is σ = 49133560980. Its totient is φ = 9045897600.

The previous prime is 22628468873. The next prime is 22628468911. The reversal of 22628468900 is 986482622.

It can be written as a sum of positive squares in 6 ways, for example, as 624900004 + 22003568896 = 24998^2 + 148336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99110 + ... + 234690.

Almost surely, 222628468900 is an apocalyptic number.

22628468900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22628468900 is an abundant number, since it is smaller than the sum of its proper divisors (26505092080).

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

22628468900 is a wasteful number, since it uses less digits than its factorization.

22628468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137264 (or 137257 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 22628468900 in words is "twenty-two billion, six hundred twenty-eight million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1669 3338 6676 8345 16690 33380 41725 83450 135581 166900 271162 542324 677905 1355810 2711620 3389525 6779050 13558100 226284689 452569378 905138756 1131423445 2262846890 4525693780 5657117225 11314234450 22628468900