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233232132 = 223722312451
BaseRepresentation
bin11011110011011…
…01011100000100
3121020212102100010
431321231130010
5434201412012
635050550220
75531304030
oct1571553404
9536772303
10233232132
1110a720831
1266138370
13394214a3
1422d931c0
1515720c3c
hexde6d704

233232132 has 48 divisors (see below), whose sum is σ = 624791552. Its totient is φ = 66333600.

The previous prime is 233232119. The next prime is 233232137. The reversal of 233232132 is 231232332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233232099 and 233232108.

It is not an unprimeable number, because it can be changed into a prime (233232137) 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, 12507 + ... + 24957.

Almost surely, 2233232132 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 233232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312395776).

233232132 is an abundant number, since it is smaller than the sum of its proper divisors (391559420).

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

233232132 is a wasteful number, since it uses less digits than its factorization.

233232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12686 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 233232132 is about 15271.9393660399. The cubic root of 233232132 is about 615.5492324045.

Adding to 233232132 its reverse (231232332), we get a palindrome (464464464).

The spelling of 233232132 in words is "two hundred thirty-three million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 669 892 1338 1561 2676 3122 4683 6244 9366 12451 18732 24902 37353 49804 74706 87157 149412 174314 261471 348628 522942 1045884 2776573 5553146 8329719 11106292 16659438 19436011 33318876 38872022 58308033 77744044 116616066 233232132