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22047795225 = 32521925212
BaseRepresentation
bin10100100010001001…
…101010100000011001
32002220112211001012100
4110202021222200121
5330123213421400
614043440434013
71410236111241
oct244211524031
962815731170
1022047795225
119394450975
124333918909
132104a179a1
1410d2262b21
15890920100
hex52226a819

22047795225 has 81 divisors (see below), whose sum is σ = 41758014909. Its totient is φ = 11118556800.

The previous prime is 22047795199. The next prime is 22047795271. The reversal of 22047795225 is 52259774022.

The square root of 22047795225 is 148485.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2767917321 + 19279877904 = 52611^2 + 138852^2 .

It is not a de Polignac number, because 22047795225 - 211 = 22047793177 is a prime.

It is a super-3 number, since 3×220477952253 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42317965 + ... + 42318485.

Almost surely, 222047795225 is an apocalyptic number.

22047795225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22047795225 is the 148485-th square number.

22047795225 is the 74243-rd centered octagonal number.

It is an amenable number.

22047795225 is a deficient number, since it is larger than the sum of its proper divisors (19710219684).

22047795225 is an equidigital number, since it uses as much as digits as its factorization.

22047795225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 22047795225 in words is "twenty-two billion, forty-seven million, seven hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 521 855 1083 1425 1563 1805 2605 3249 4275 4689 5415 7815 9025 9899 13025 16245 23445 27075 29697 39075 49495 81225 89091 117225 148485 188081 247475 271441 445455 564243 742425 814323 940405 1357205 1692729 2227275 2442969 2821215 4071615 4702025 5157379 6786025 8463645 12214845 14106075 15472137 20358075 25786895 42318225 46416411 61074225 77360685 97990201 128934475 232082055 293970603 386803425 489951005 881911809 1160410275 1469853015 2449755025 4409559045 7349265075 22047795225