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232533220 = 22523618287
BaseRepresentation
bin11011101110000…
…10110011100100
3121012112220121111
431313002303210
5434012030340
635023554404
75522333263
oct1567026344
9535486544
10232533220
1110a293717
1265a5ba04
133923832a
1422c505da
1515633aea
hexddc2ce4

232533220 has 48 divisors (see below), whose sum is σ = 517966848. Its totient is φ = 87500160.

The previous prime is 232533211. The next prime is 232533221. The reversal of 232533220 is 22335232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232533191 and 232533200.

It is not an unprimeable number, because it can be changed into a prime (232533221) 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, 23917 + ... + 32203.

It is an arithmetic number, because the mean of its divisors is an integer number (10790976).

Almost surely, 2232533220 is an apocalyptic number.

232533220 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 232533220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258983424).

232533220 is an abundant number, since it is smaller than the sum of its proper divisors (285433628).

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

232533220 is a wasteful number, since it uses less digits than its factorization.

232533220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 232533220 is about 15249.0399697817. The cubic root of 232533220 is about 614.9337580404.

Adding to 232533220 its reverse (22335232), we get a palindrome (254868452).

The spelling of 232533220 in words is "two hundred thirty-two million, five hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 1220 1403 2806 5612 7015 8287 14030 16574 28060 33148 41435 82870 165740 190601 381202 505507 762404 953005 1011014 1906010 2022028 2527535 3812020 5055070 10110140 11626661 23253322 46506644 58133305 116266610 232533220