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232643020 = 22541614651
BaseRepresentation
bin11011101110111…
…01100111001100
3121012202111020011
431313131213030
5434024034040
635030203004
75523301351
oct1567354714
9535674204
10232643020
1110a359165
1265ab3464
13392762bc
1422c7c628
15156563ea
hexdddd9cc

232643020 has 48 divisors (see below), whose sum is σ = 508779936. Its totient is φ = 89280000.

The previous prime is 232642987. The next prime is 232643039. The reversal of 232643020 is 20346232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232642982 and 232643000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47695 + ... + 52345.

It is an arithmetic number, because the mean of its divisors is an integer number (10599582).

Almost surely, 2232643020 is an apocalyptic number.

232643020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232643020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254389968).

232643020 is an abundant number, since it is smaller than the sum of its proper divisors (276136916).

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

232643020 is a wasteful number, since it uses less digits than its factorization.

232643020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 232643020 is about 15252.6397715281. The cubic root of 232643020 is about 615.0305314562.

Adding to 232643020 its reverse (20346232), we get a palindrome (252989252).

The spelling of 232643020 in words is "two hundred thirty-two million, six hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 4651 5002 9302 10004 12505 18604 23255 25010 46510 50020 93020 190691 283711 381382 567422 762764 953455 1134844 1418555 1906910 2837110 3813820 5674220 11632151 23264302 46528604 58160755 116321510 232643020