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164231532 = 22328295503
BaseRepresentation
bin10011100100111…
…11100101101100
3102110000211022100
421302133211230
5314020402112
624144015100
74032642063
oct1162374554
9373024270
10164231532
1184782643
1247001490
132804282a
1417b511da
15e6412dc
hex9c9f96c

164231532 has 36 divisors (see below), whose sum is σ = 415717120. Its totient is φ = 54667872.

The previous prime is 164231513. The next prime is 164231533. The reversal of 164231532 is 235132461.

164231532 is a `hidden beast` number, since 1 + 642 + 3 + 15 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1642315322 = 53943992206134048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164231496 and 164231505.

It is not an unprimeable number, because it can be changed into a prime (164231533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27093 + ... + 32595.

Almost surely, 2164231532 is an apocalyptic number.

164231532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164231532 is an abundant number, since it is smaller than the sum of its proper divisors (251485588).

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

164231532 is a wasteful number, since it uses less digits than its factorization.

164231532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6337 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 164231532 is about 12815.2850924199. The cubic root of 164231532 is about 547.6278352900.

Adding to 164231532 its reverse (235132461), we get a palindrome (399363993).

It can be divided in two parts, 16423 and 1532, that added together give a triangular number (17955 = T189).

The spelling of 164231532 in words is "one hundred sixty-four million, two hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 829 1658 2487 3316 4974 5503 7461 9948 11006 14922 16509 22012 29844 33018 49527 66036 99054 198108 4561987 9123974 13685961 18247948 27371922 41057883 54743844 82115766 164231532