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89220516 = 223711223433
BaseRepresentation
bin1010101000101…
…10010110100100
320012212212112120
411110112112210
5140320024031
612504145540
72132235060
oct524262644
9205785476
1089220516
11463a9770
1225a682b0
131563b208
14bbc6aa0
157c75a96
hex55165a4

89220516 has 96 divisors (see below), whose sum is σ = 261316608. Its totient is φ = 23016960.

The previous prime is 89220479. The next prime is 89220541. The reversal of 89220516 is 61502298.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205836 + ... + 206268.

It is an arithmetic number, because the mean of its divisors is an integer number (2722048).

Almost surely, 289220516 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 89220516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130658304).

89220516 is an abundant number, since it is smaller than the sum of its proper divisors (172096092).

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

89220516 is a wasteful number, since it uses less digits than its factorization.

89220516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 89220516 is about 9445.6612261927. The cubic root of 89220516 is about 446.8429498979.

The spelling of 89220516 in words is "eighty-nine million, two hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 223 231 308 433 446 462 669 866 892 924 1299 1338 1561 1732 2453 2598 2676 3031 3122 4683 4763 4906 5196 6062 6244 7359 9093 9366 9526 9812 12124 14289 14718 17171 18186 18732 19052 28578 29436 33341 34342 36372 51513 57156 66682 68684 96559 100023 103026 133364 193118 200046 206052 289677 386236 400092 579354 675913 1062149 1158708 1351826 2027739 2124298 2703652 3186447 4055478 4248596 6372894 7435043 8110956 12745788 14870086 22305129 29740172 44610258 89220516