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233992 = 23112659
BaseRepresentation
bin111001001000001000
3102212222101
4321020020
524441432
65003144
71663123
oct711010
9385871
10233992
1114a890
12b34b4
1382675
14613ba
15494e7
hex39208

233992 has 16 divisors (see below), whose sum is σ = 478800. Its totient is φ = 106320.

The previous prime is 233983. The next prime is 233993. The reversal of 233992 is 299332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 233992.

It is not an unprimeable number, because it can be changed into a prime (233993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1242 + ... + 1417.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2233992 is an apocalyptic number.

233992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233992 is an abundant number, since it is smaller than the sum of its proper divisors (244808).

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

233992 is a wasteful number, since it uses less digits than its factorization.

233992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2672 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 233992 is about 483.7271958449. The cubic root of 233992 is about 61.6216992199.

It can be divided in two parts, 233 and 992, that added together give a triangular number (1225 = T49).

The spelling of 233992 in words is "two hundred thirty-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 2659 5318 10636 21272 29249 58498 116996 233992