Search a number
-
+
164666430 = 23252379549
BaseRepresentation
bin10011101000010…
…01110000111110
3102110211220212200
421310021300332
5314123311210
624201212330
74036433025
oct1164116076
9373756780
10164666430
1184a4a365
12471910a6
1328165776
1417c258bc
15e6ca0c0
hex9d09c3e

164666430 has 48 divisors (see below), whose sum is σ = 446752800. Its totient is φ = 42001344.

The previous prime is 164666429. The next prime is 164666449. The reversal of 164666430 is 34666461.

164666430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37705 + ... + 41844.

It is an arithmetic number, because the mean of its divisors is an integer number (9307350).

Almost surely, 2164666430 is an apocalyptic number.

164666430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164666430 is an abundant number, since it is smaller than the sum of its proper divisors (282086370).

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

164666430 is a wasteful number, since it uses less digits than its factorization.

164666430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79585 (or 79582 counting only the distinct ones).

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

The square root of 164666430 is about 12832.2418150532. The cubic root of 164666430 is about 548.1107964120.

The spelling of 164666430 in words is "one hundred sixty-four million, six hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 79549 159098 238647 397745 477294 715941 795490 1193235 1431882 1829627 2386470 3579705 3659254 5488881 7159410 9148135 10977762 16466643 18296270 27444405 32933286 54888810 82333215 164666430