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233204420 = 22511660221
BaseRepresentation
bin11011110011001…
…10101011000100
3121020211000022202
431321212223010
5434200020140
635050214032
75531130161
oct1571465304
9536730282
10233204420
1110a701a29
1266124318
13394119a7
1422d87068
1515717915
hexde66ac4

233204420 has 12 divisors (see below), whose sum is σ = 489729324. Its totient is φ = 93281760.

The previous prime is 233204401. The next prime is 233204431. The reversal of 233204420 is 24402332.

It can be written as a sum of positive squares in 2 ways, for example, as 78251716 + 154952704 = 8846^2 + 12448^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11660221 = 233204420 / (2 + 3 + 3 + 2 + 0 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 233204392 and 233204401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5830091 + ... + 5830130.

It is an arithmetic number, because the mean of its divisors is an integer number (40810777).

Almost surely, 2233204420 is an apocalyptic number.

233204420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233204420 is an abundant number, since it is smaller than the sum of its proper divisors (256524904).

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

233204420 is a wasteful number, since it uses less digits than its factorization.

233204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660230 (or 11660228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 233204420 is about 15271.0320541868. The cubic root of 233204420 is about 615.5248521503.

Adding to 233204420 its reverse (24402332), we get a palindrome (257606752).

The spelling of 233204420 in words is "two hundred thirty-three million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 11660221 23320442 46640884 58301105 116602210 233204420