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164630466 = 232711139137
BaseRepresentation
bin10011101000000…
…00111111000010
3102110210002112200
421310000333002
5314121133331
624200334030
74036223130
oct1164007702
9373702480
10164630466
1184a25340
1247174316
13281522a0
1417c16750
15e6be5e6
hex9d00fc2

164630466 has 96 divisors (see below), whose sum is σ = 478977408. Its totient is φ = 39467520.

The previous prime is 164630461. The next prime is 164630467. The reversal of 164630466 is 664036461.

164630466 is a `hidden beast` number, since 1 + 646 + 3 + 0 + 4 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164630466.

It is not an unprimeable number, because it can be changed into a prime (164630461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13450 + ... + 22586.

It is an arithmetic number, because the mean of its divisors is an integer number (4989348).

Almost surely, 2164630466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164630466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239488704).

164630466 is an abundant number, since it is smaller than the sum of its proper divisors (314346942).

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

164630466 is a wasteful number, since it uses less digits than its factorization.

164630466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 164630466 is about 12830.8404245396. The cubic root of 164630466 is about 548.0708900957.

The spelling of 164630466 in words is "one hundred sixty-four million, six hundred thirty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 9137 18018 18274 27411 54822 63959 82233 100507 118781 127918 164466 191877 201014 237562 301521 356343 383754 575631 603042 703549 712686 831467 904563 1069029 1151262 1306591 1407098 1662934 1809126 2110647 2138058 2494401 2613182 3919773 4221294 4988802 6331941 7483203 7839546 9146137 11759319 12663882 14966406 18292274 23518638 27438411 54876822 82315233 164630466