Search a number
-
+
164136258 = 232113131731
BaseRepresentation
bin10011100100010…
…00010101000010
3102102211222121200
421302020111002
5314004330013
624142002030
74032064236
oct1162102502
9372758550
10164136258
1184718000
1246b76316
132800b360
1417b285c6
15e622e73
hex9c88542

164136258 has 192 divisors, whose sum is σ = 460422144. Its totient is φ = 41817600.

The previous prime is 164136253. The next prime is 164136311. The reversal of 164136258 is 852631461.

It is a happy number.

164136258 is a `hidden beast` number, since 1 + 641 + 3 + 6 + 2 + 5 + 8 = 666.

It is a super-2 number, since 2×1641362582 = 53881422380485128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164136253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5294703 + ... + 5294733.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 2164136258 is an apocalyptic number.

164136258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164136258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230211072).

164136258 is an abundant number, since it is smaller than the sum of its proper divisors (296285886).

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

164136258 is a wasteful number, since it uses less digits than its factorization.

164136258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 164136258 is about 12811.5673514211. The cubic root of 164136258 is about 547.5219181818.

The spelling of 164136258 in words is "one hundred sixty-four million, one hundred thirty-six thousand, two hundred fifty-eight".