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22339089225 = 3452109310093
BaseRepresentation
bin10100110011100000…
…110111001101001001
32010122211221022110000
4110303200313031021
5331222301323400
614132404113213
71420404061005
oct246340671511
963584838400
1022339089225
119523919412
1243b5395809
132150187bbb
14111cc0b705
158ab2ae600
hex533837349

22339089225 has 60 divisors (see below), whose sum is σ = 41421677836. Its totient is φ = 11902101120.

The previous prime is 22339089191. The next prime is 22339089263. The reversal of 22339089225 is 52298093322.

It can be written as a sum of positive squares in 6 ways, for example, as 839318841 + 21499770384 = 28971^2 + 146628^2 .

It is not a de Polignac number, because 22339089225 - 214 = 22339072841 is a prime.

It is a super-2 number, since 2×223390892252 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2208279 + ... + 2218371.

Almost surely, 222339089225 is an apocalyptic number.

22339089225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22339089225 is a deficient number, since it is larger than the sum of its proper divisors (19082588611).

22339089225 is a wasteful number, since it uses less digits than its factorization.

22339089225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22339089225 in words is "twenty-two billion, three hundred thirty-nine million, eighty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1093 2025 3279 5465 9837 10093 16395 27325 29511 30279 49185 50465 81975 88533 90837 147555 151395 245925 252325 272511 442665 454185 737775 756975 817533 1362555 2213325 2270925 4087665 6812775 11031649 20438325 33094947 55158245 99284841 165474735 275791225 297854523 496424205 827373675 893563569 1489272615 2482121025 4467817845 7446363075 22339089225