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164514168 = 2332721317211
BaseRepresentation
bin10011100111001…
…00100101111000
3102110120012000100
421303210211320
5314103423133
624154035400
74035230100
oct1163444570
9373505010
10164514168
1184955a25
1247118b60
1328111380
1417bc6200
15e699e13
hex9ce4978

164514168 has 288 divisors, whose sum is σ = 593807760. Its totient is φ = 40642560.

The previous prime is 164514167. The next prime is 164514169. The reversal of 164514168 is 861415461.

164514168 is a `hidden beast` number, since 1 + 645 + 1 + 4 + 1 + 6 + 8 = 666.

164514168 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 (164514167) and next prime (164514169).

It is a super-2 number, since 2×1645141682 = 54129822945464448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164514167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 779583 + ... + 779793.

Almost surely, 2164514168 is an apocalyptic number.

164514168 is a gapful number since it is divisible by the number (18) 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 164514168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296903880).

164514168 is an abundant number, since it is smaller than the sum of its proper divisors (429293592).

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

164514168 is a wasteful number, since it uses less digits than its factorization.

164514168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 164514168 is about 12826.3076526333. The cubic root of 164514168 is about 547.9418038969.

The spelling of 164514168 in words is "one hundred sixty-four million, five hundred fourteen thousand, one hundred sixty-eight".