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164514714 = 23713417349
BaseRepresentation
bin10011100111001…
…00101110011010
3102110120012202120
421303210232122
5314103432324
624154042110
74035231510
oct1163445632
9373505676
10164514714
1184956381
1247119336
13281116b0
1417bc64b0
15e69a179
hex9ce4b9a

164514714 has 64 divisors (see below), whose sum is σ = 414892800. Its totient is φ = 42324480.

The previous prime is 164514677. The next prime is 164514719. The reversal of 164514714 is 417415461.

164514714 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1645147142 = 54130182245003592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164514719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18712 + ... + 26060.

It is an arithmetic number, because the mean of its divisors is an integer number (6482700).

Almost surely, 2164514714 is an apocalyptic number.

164514714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164514714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207446400).

164514714 is an abundant number, since it is smaller than the sum of its proper divisors (250378086).

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

164514714 is a wasteful number, since it uses less digits than its factorization.

164514714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415.

The product of its digits is 13440, while the sum is 33.

The square root of 164514714 is about 12826.3289369952. The cubic root of 164514714 is about 547.9424100775.

The spelling of 164514714 in words is "one hundred sixty-four million, five hundred fourteen thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 3198 3731 7349 7462 11193 14698 22047 22386 44094 51443 95537 102886 154329 191074 286611 301309 308658 573222 602618 668759 903927 1337518 1807854 2006277 2109163 3917017 4012554 4218326 6327489 7834034 11751051 12654978 23502102 27419119 54838238 82257357 164514714