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233432420 = 22513897817
BaseRepresentation
bin11011110100111…
…10010101100100
3121021020121002012
431322132111210
5434224314140
635055133352
75533066664
oct1572362544
9537217065
10233432420
1110a848261
1266214258
13394916c0
14230061a4
1515760265
hexde9e564

233432420 has 24 divisors (see below), whose sum is σ = 527916984. Its totient is φ = 86190336.

The previous prime is 233432417. The next prime is 233432429. The reversal of 233432420 is 24234332.

233432420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2149156 + 231283264 = 1466^2 + 15208^2 .

It is not an unprimeable number, because it can be changed into a prime (233432429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448649 + ... + 449168.

It is an arithmetic number, because the mean of its divisors is an integer number (21996541).

Almost surely, 2233432420 is an apocalyptic number.

233432420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233432420 is an abundant number, since it is smaller than the sum of its proper divisors (294484564).

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

233432420 is a wasteful number, since it uses less digits than its factorization.

233432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897839 (or 897837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 233432420 is about 15278.4953447648. The cubic root of 233432420 is about 615.7253828767.

Adding to 233432420 its reverse (24234332), we get a palindrome (257666752).

The spelling of 233432420 in words is "two hundred thirty-three million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 897817 1795634 3591268 4489085 8978170 11671621 17956340 23343242 46686484 58358105 116716210 233432420