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233849920 = 265730781
BaseRepresentation
bin11011111000001…
…00010001000000
3121022000210210011
431330010101000
5434331144140
635112114304
75536456123
oct1574042100
9538023704
10233849920
111100029a7
1266395994
13395a9745
14230b43ba
15157e3cea
hexdf04440

233849920 has 28 divisors (see below), whose sum is σ = 556855884. Its totient is φ = 93539840.

The previous prime is 233849911. The next prime is 233849921. The reversal of 233849920 is 29948332.

It can be written as a sum of positive squares in 2 ways, for example, as 165688384 + 68161536 = 12872^2 + 8256^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (233849921) 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, 365071 + ... + 365710.

Almost surely, 2233849920 is an apocalyptic number.

233849920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233849920 is an abundant number, since it is smaller than the sum of its proper divisors (323005964).

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

233849920 is an equidigital number, since it uses as much as digits as its factorization.

233849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730798 (or 730788 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 233849920 is about 15292.1522357057. The cubic root of 233849920 is about 616.0922445769.

The spelling of 233849920 in words is "two hundred thirty-three million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 730781 1461562 2923124 3653905 5846248 7307810 11692496 14615620 23384992 29231240 46769984 58462480 116924960 233849920