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164312052 = 223101135571
BaseRepresentation
bin10011100101100…
…11001111110100
3102110011220202120
421302303033310
5314030441202
624145435540
74033425612
oct1162631764
9373156676
10164312052
1184828093
124703bbb0
1328070388
1417b726b2
15e65a0bc
hex9cb33f4

164312052 has 24 divisors (see below), whose sum is σ = 387193632. Its totient is φ = 54228000.

The previous prime is 164312011. The next prime is 164312063. The reversal of 164312052 is 250213461.

164312052 is digitally balanced in base 3, 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 7 ways as a sum of consecutive naturals, for example, 66574 + ... + 68997.

It is an arithmetic number, because the mean of its divisors is an integer number (16133068).

Almost surely, 2164312052 is an apocalyptic number.

164312052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164312052 is an abundant number, since it is smaller than the sum of its proper divisors (222881580).

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

164312052 is a wasteful number, since it uses less digits than its factorization.

164312052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135679 (or 135677 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164312052 is about 12818.4262684621. The cubic root of 164312052 is about 547.7173182867.

It can be divided in two parts, 1643 and 12052, that added together give a triangular number (13695 = T165).

The spelling of 164312052 in words is "one hundred sixty-four million, three hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 135571 271142 406713 542284 813426 1626852 13692671 27385342 41078013 54770684 82156026 164312052