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80228964 = 22329415623
BaseRepresentation
bin1001100100000…
…11001001100100
312120222001110010
410302003021210
5131014311324
611543330220
71662635454
oct462031144
9176861403
1080228964
1141318232
1222a50970
131381067a
14a925d64
15709b829
hex4c83264

80228964 has 48 divisors (see below), whose sum is σ = 198414720. Its totient is φ = 25186560.

The previous prime is 80228959. The next prime is 80228989. The reversal of 80228964 is 46982208.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11457 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (4133640).

Almost surely, 280228964 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 80228964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99207360).

80228964 is an abundant number, since it is smaller than the sum of its proper divisors (118185756).

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

80228964 is a wasteful number, since it uses less digits than its factorization.

80228964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 80228964 is about 8957.0622416058. The cubic root of 80228964 is about 431.2976197783.

Subtracting from 80228964 its reverse (46982208), we obtain a square (33246756 = 57662).

The spelling of 80228964 in words is "eighty million, two hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 5623 7134 11246 14268 16869 22492 33738 67476 163067 230543 326134 461086 489201 652268 691629 922172 978402 1383258 1956804 2766516 6685747 13371494 20057241 26742988 40114482 80228964