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233388256 = 2553241571
BaseRepresentation
bin11011110100100…
…11100011100000
3121021011100111111
431322103203200
5434221411011
635054153104
75532524143
oct1572234340
9537140444
10233388256
1110a818062
12661b2794
133947757a
1422dd405a
1515752121
hexde938e0

233388256 has 48 divisors (see below), whose sum is σ = 470918448. Its totient is φ = 113817600.

The previous prime is 233388251. The next prime is 233388263. The reversal of 233388256 is 652883332.

233388256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233388251) 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, 408451 + ... + 409021.

It is an arithmetic number, because the mean of its divisors is an integer number (9810801).

Almost surely, 2233388256 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 233388256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235459224).

233388256 is an abundant number, since it is smaller than the sum of its proper divisors (237530192).

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

233388256 is a wasteful number, since it uses less digits than its factorization.

233388256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 867 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 233388256 is about 15277.0499770080. The cubic root of 233388256 is about 615.6865499233.

The spelling of 233388256 in words is "two hundred thirty-three million, three hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 106 212 241 424 482 571 848 964 1142 1696 1928 2284 3856 4568 7712 9136 12773 18272 25546 30263 51092 60526 102184 121052 137611 204368 242104 275222 408736 484208 550444 968416 1100888 2201776 4403552 7293383 14586766 29173532 58347064 116694128 233388256