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233275068 = 2232131513301
BaseRepresentation
bin11011110011101…
…11111010111100
3121020221121020100
431321313322330
5434204300233
635051521100
75531543145
oct1571677274
9536847210
10233275068
1110a750014
1266159190
1339437bb0
1422da4acc
151572d813
hexde77ebc

233275068 has 72 divisors (see below), whose sum is σ = 639425696. Its totient is φ = 71280000.

The previous prime is 233275067. The next prime is 233275099. The reversal of 233275068 is 860572332.

233275068 is digitally balanced in base 3 and base 9, because in such bases 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 (36).

233275068 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233275067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69018 + ... + 72318.

Almost surely, 2233275068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233275068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319712848).

233275068 is an abundant number, since it is smaller than the sum of its proper divisors (406150628).

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

233275068 is a wasteful number, since it uses less digits than its factorization.

233275068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 233275068 is about 15273.3450167277. The cubic root of 233275068 is about 615.5870025007.

The spelling of 233275068 in words is "two hundred thirty-three million, two hundred seventy-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 453 468 604 906 1359 1812 1963 2718 3301 3926 5436 5889 6602 7852 9903 11778 13204 17667 19806 23556 29709 35334 39612 42913 59418 70668 85826 118836 128739 171652 257478 386217 498451 514956 772434 996902 1495353 1544868 1993804 2990706 4486059 5981412 6479863 8972118 12959726 17944236 19439589 25919452 38879178 58318767 77758356 116637534 233275068