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89965224 = 233217312371
BaseRepresentation
bin1010101110011…
…00001010101000
320021021201002100
411113030022220
5141012341344
612532133400
72141456166
oct527141250
9207251070
1089965224
1146868228
1226167260
131583c17b
14bd3c236
157d71569
hex55cc2a8

89965224 has 96 divisors (see below), whose sum is σ = 266423040. Its totient is φ = 27302400.

The previous prime is 89965223. The next prime is 89965231. The reversal of 89965224 is 42256998.

It is a Cunningham number, because it is equal to 94852-1.

It is a self number, because there is not a number n which added to its sum of digits gives 89965224.

It is not an unprimeable number, because it can be changed into a prime (89965223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36759 + ... + 39129.

It is an arithmetic number, because the mean of its divisors is an integer number (2775240).

Almost surely, 289965224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89965224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133211520).

89965224 is an abundant number, since it is smaller than the sum of its proper divisors (176457816).

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

89965224 is a wasteful number, since it uses less digits than its factorization.

89965224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2424 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 89965224 is about 9484.9999472852. Note that the first 4 decimals coincide. The cubic root of 89965224 is about 448.0827467266.

The spelling of 89965224 in words is "eighty-nine million, nine hundred sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 2371 3162 4216 4742 4743 6324 7113 9484 9486 12648 14226 18968 18972 21339 28452 37944 40307 42678 56904 73501 80614 85356 120921 147002 161228 170712 220503 241842 294004 322456 362763 441006 483684 588008 661509 725526 882012 967368 1249517 1323018 1451052 1764024 2499034 2646036 2902104 3748551 4998068 5292072 7497102 9996136 11245653 14994204 22491306 29988408 44982612 89965224