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233426460 = 22354578513
BaseRepresentation
bin11011110100111…
…00111000011100
3121021020021220110
431322130320130
5434224121320
635055050020
75533043421
oct1572347034
9537207813
10233426460
1110a843833
1266210910
133948ba87
1423003d48
151575d5e0
hexde9ce1c

233426460 has 48 divisors (see below), whose sum is σ = 655101216. Its totient is φ = 62103552.

The previous prime is 233426383. The next prime is 233426477. The reversal of 233426460 is 64624332.

It is a happy number.

233426460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23164 + ... + 31676.

It is an arithmetic number, because the mean of its divisors is an integer number (13647942).

Almost surely, 2233426460 is an apocalyptic number.

233426460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233426460 is an abundant number, since it is smaller than the sum of its proper divisors (421674756).

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

233426460 is a wasteful number, since it uses less digits than its factorization.

233426460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 233426460 is about 15278.3002981353. The cubic root of 233426460 is about 615.7201425956.

The spelling of 233426460 in words is "two hundred thirty-three million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 457 914 1371 1828 2285 2742 4570 5484 6855 8513 9140 13710 17026 25539 27420 34052 42565 51078 85130 102156 127695 170260 255390 510780 3890441 7780882 11671323 15561764 19452205 23342646 38904410 46685292 58356615 77808820 116713230 233426460