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166201664 = 2619314409
BaseRepresentation
bin10011110100000…
…00100101000000
3102120201220211012
421322000211000
5320021423124
624254140052
74055455646
oct1172004500
9376656735
10166201664
11858a8852
12477b1628
13285824a5
1418105196
15e8cee0e
hex9e80940

166201664 has 56 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 76170240.

The previous prime is 166201631. The next prime is 166201681. The reversal of 166201664 is 466102661.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 166201664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35492 + ... + 39900.

It is an arithmetic number, because the mean of its divisors is an integer number (6400800).

Almost surely, 2166201664 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 166201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

166201664 is an abundant number, since it is smaller than the sum of its proper divisors (192243136).

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

166201664 is a wasteful number, since it uses less digits than its factorization.

166201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 166201664 is about 12891.9224322829. The cubic root of 166201664 is about 549.8089297731.

The spelling of 166201664 in words is "one hundred sixty-six million, two hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1984 2356 4409 4712 8818 9424 17636 18848 35272 37696 70544 83771 136679 141088 167542 273358 282176 335084 546716 670168 1093432 1340336 2186864 2596901 2680672 4373728 5193802 5361344 8747456 10387604 20775208 41550416 83100832 166201664