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233988 = 223173137
BaseRepresentation
bin111001001000000100
3102212222020
4321020010
524441423
65003140
71663116
oct711004
9385866
10233988
1114a887
12b34b0
1382671
14613b6
15494e3
hex39204

233988 has 48 divisors (see below), whose sum is σ = 612864. Its totient is φ = 69120.

The previous prime is 233983. The next prime is 233993. The reversal of 233988 is 889332.

It is an interprime number because it is at equal distance from previous prime (233983) and next prime (233993).

It is not an unprimeable number, because it can be changed into a prime (233983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6306 + ... + 6342.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2233988 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 233988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432).

233988 is an abundant number, since it is smaller than the sum of its proper divisors (378876).

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

233988 is a wasteful number, since it uses less digits than its factorization.

233988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 233988 is about 483.7230612654. The cubic root of 233988 is about 61.6213480851.

It can be divided in two parts, 233 and 988, that added together give a palindrome (1221).

The spelling of 233988 in words is "two hundred thirty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 37 51 62 68 74 93 102 111 124 148 186 204 222 372 444 527 629 1054 1147 1258 1581 1887 2108 2294 2516 3162 3441 3774 4588 6324 6882 7548 13764 19499 38998 58497 77996 116994 233988