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9218880225 = 32523721732
BaseRepresentation
bin10001001010111110…
…01111001011100001
3212210110221122020100
420211133033023201
5122340013131400
64122440333013
7444311121552
oct104537171341
925713848210
109218880225
113a008aa185
121953474169
13b3bc18119
14636510329
1538e515100
hex2257cf2e1

9218880225 has 81 divisors (see below), whose sum is σ = 17069033163. Its totient is φ = 4756199040.

The previous prime is 9218880191. The next prime is 9218880227. The reversal of 9218880225 is 5220888129.

The square root of 9218880225 is 96015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 576081 + 9218304144 = 759^2 + 96012^2 .

It is not a de Polignac number, because 9218880225 - 229 = 8682009313 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (9218880227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53288239 + ... + 53288411.

Almost surely, 29218880225 is an apocalyptic number.

9218880225 is the 96015-th square number.

9218880225 is the 48008-th centered octagonal number.

It is an amenable number.

9218880225 is a deficient number, since it is larger than the sum of its proper divisors (7850152938).

9218880225 is a wasteful number, since it uses less digits than its factorization.

9218880225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The cubic root of 9218880225 is about 2096.8115047963.

The spelling of 9218880225 in words is "nine billion, two hundred eighteen million, eight hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 173 185 225 333 519 555 865 925 1369 1557 1665 2595 2775 4107 4325 6401 6845 7785 8325 12321 12975 19203 20535 29929 32005 34225 38925 57609 61605 89787 96015 102675 149645 160025 236837 269361 288045 308025 448935 480075 710511 748225 1107373 1184185 1346805 1440225 2131533 2244675 3322119 3552555 5536865 5920925 6734025 9966357 10657665 16610595 17762775 27684325 40972801 49831785 53288325 83052975 122918403 204864005 249158925 368755209 614592015 1024320025 1843776045 3072960075 9218880225