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22917418225 = 521321721372
BaseRepresentation
bin10101010101111111…
…000000110011110001
32012011011011110200121
4111111333000303301
5333413324340400
614310023450241
71440625561252
oct252577006361
965134143617
1022917418225
1197a0315569
124536bb6981
132212c36900
141175952b29
158e1e4b21a
hex555fc0cf1

22917418225 has 81 divisors (see below), whose sum is σ = 32928639177. Its totient is φ = 15811860480.

The previous prime is 22917418219. The next prime is 22917418289. The reversal of 22917418225 is 52281471922.

The square root of 22917418225 is 151385.

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

It can be written as a sum of positive squares in 40 ways, for example, as 22410988209 + 506430016 = 149703^2 + 22504^2 .

It is not a de Polignac number, because 22917418225 - 25 = 22917418193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 167280357 + ... + 167280493.

Almost surely, 222917418225 is an apocalyptic number.

22917418225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22917418225 is the 151385-th square number.

22917418225 is the 75693-rd centered octagonal number.

It is an amenable number.

22917418225 is a deficient number, since it is larger than the sum of its proper divisors (10011220952).

22917418225 is a wasteful number, since it uses less digits than its factorization.

22917418225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The spelling of 22917418225 in words is "twenty-two billion, nine hundred seventeen million, four hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 137 169 221 289 325 425 685 845 1105 1445 1781 2329 2873 3425 3757 4225 5525 7225 8905 11645 14365 18769 18785 23153 30277 39593 44525 48841 58225 71825 93845 93925 115765 151385 197965 243997 244205 319073 393601 469225 514709 578825 756925 989825 1219985 1221025 1595365 1968005 2573545 3171961 4147949 5424241 6099925 6691217 7976825 9840025 12867725 15859805 20739745 27121205 33456085 53923337 70515133 79299025 103698725 135606025 167280425 269616685 352575665 916696729 1348083425 1762878325 4583483645 22917418225