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20232992 = 2513172861
BaseRepresentation
bin100110100101…
…1101100100000
31102001221110002
41031023230200
520134423432
62001355132
7333656213
oct115135440
942057402
1020232992
111046a38a
126938aa8
1342654b0
14298977a
151b99e62
hex134bb20

20232992 has 48 divisors (see below), whose sum is σ = 45437112. Its totient is φ = 8785920.

The previous prime is 20232991. The next prime is 20233007. The reversal of 20232992 is 29923202.

It can be written as a sum of positive squares in 4 ways, for example, as 17007376 + 3225616 = 4124^2 + 1796^2 .

It is not an unprimeable number, because it can be changed into a prime (20232991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5642 + ... + 8502.

Almost surely, 220232992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22718556).

20232992 is an abundant number, since it is smaller than the sum of its proper divisors (25204120).

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

20232992 is a wasteful number, since it uses less digits than its factorization.

20232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 20232992 is about 4498.1098252488. The cubic root of 20232992 is about 272.4917574591.

The spelling of 20232992 in words is "twenty million, two hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 2861 3536 5722 7072 11444 22888 37193 45776 48637 74386 91552 97274 148772 194548 297544 389096 595088 632281 778192 1190176 1264562 1556384 2529124 5058248 10116496 20232992