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664022250 = 23253421701
BaseRepresentation
bin100111100101000…
…010110011101010
31201021110211021200
4213211002303222
52324442203000
6145520145030
722312044633
oct4745026352
91637424250
10664022250
11310906821
12166468176
13a7753598
146429088a
153d467500
hex27942cea

664022250 has 96 divisors (see below), whose sum is σ = 1802348496. Its totient is φ = 176400000.

The previous prime is 664022231. The next prime is 664022269. The reversal of 664022250 is 52220466.

664022250 is a `hidden beast` number, since 6 + 6 + 402 + 2 + 250 = 666.

664022250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (664022231) and next prime (664022269).

It can be written as a sum of positive squares in 8 ways, for example, as 393129 + 663629121 = 627^2 + 25761^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946900 + ... + 947600.

Almost surely, 2664022250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664022250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901174248).

664022250 is an abundant number, since it is smaller than the sum of its proper divisors (1138326246).

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

664022250 is a wasteful number, since it uses less digits than its factorization.

664022250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 664022250 is about 25768.6291835635. The cubic root of 664022250 is about 872.4238787677.

The spelling of 664022250 in words is "six hundred sixty-four million, twenty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 421 450 701 750 842 1125 1263 1402 2103 2105 2250 2526 3505 3789 4206 4210 6309 6315 7010 7578 10515 10525 12618 12630 17525 18945 21030 21050 31545 31575 35050 37890 52575 52625 63090 63150 87625 94725 105150 105250 157725 157875 175250 189450 262875 295121 315450 315750 473625 525750 590242 788625 885363 947250 1475605 1577250 1770726 2656089 2951210 4426815 5312178 7378025 8853630 13280445 14756050 22134075 26560890 36890125 44268150 66402225 73780250 110670375 132804450 221340750 332011125 664022250