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164126232 = 233213117401
BaseRepresentation
bin10011100100001…
…01111000011000
3102102211110212100
421302011320120
5314004014412
624141443400
74032023064
oct1162057030
9372743770
10164126232
1184710516
1246b70560
132800691a
1417b24aa4
15e61eedc
hex9c85e18

164126232 has 48 divisors (see below), whose sum is σ = 447927480. Its totient is φ = 54288000.

The previous prime is 164126219. The next prime is 164126233. The reversal of 164126232 is 232621461.

164126232 is a `hidden beast` number, since 16 + 412 + 6 + 232 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164126196 and 164126205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164126233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732 + ... + 18132.

Almost surely, 2164126232 is an apocalyptic number.

164126232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164126232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223963740).

164126232 is an abundant number, since it is smaller than the sum of its proper divisors (283801248).

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

164126232 is a wasteful number, since it uses less digits than its factorization.

164126232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17544 (or 17537 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 164126232 is about 12811.1760584265. The cubic root of 164126232 is about 547.5107697888.

Adding to 164126232 its reverse (232621461), we get a palindrome (396747693).

The spelling of 164126232 in words is "one hundred sixty-four million, one hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 17401 34802 52203 69604 104406 139208 156609 208812 313218 417624 626436 1252872 2279531 4559062 6838593 9118124 13677186 18236248 20515779 27354372 41031558 54708744 82063116 164126232