Search a number
-
+
233322112 = 2753163211
BaseRepresentation
bin11011110100000…
…11011010000000
3121021000222202201
431322003122000
5434212301422
635052522544
75532130252
oct1572033200
9537028681
10233322112
1110a7823a1
1266180454
133945342a
1422db7cd2
151573c727
hexde83680

233322112 has 64 divisors (see below), whose sum is σ = 478755360. Its totient is φ = 113218560.

The previous prime is 233322107. The next prime is 233322137. The reversal of 233322112 is 211223332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 233322112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105687 + ... + 1105897.

Almost surely, 2233322112 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 233322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239377680).

233322112 is an abundant number, since it is smaller than the sum of its proper divisors (245433248).

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

233322112 is a wasteful number, since it uses less digits than its factorization.

233322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 233322112 is about 15274.8850077505. The cubic root of 233322112 is about 615.6283810168.

Adding to 233322112 its reverse (211223332), we get a palindrome (444545444).

The spelling of 233322112 in words is "two hundred thirty-three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 163 211 212 326 422 424 652 844 848 1304 1688 1696 2608 3376 3392 5216 6752 6784 8639 10432 11183 13504 17278 20864 22366 27008 34393 34556 44732 68786 69112 89464 137572 138224 178928 275144 276448 357856 550288 552896 715712 1100576 1105792 1431424 1822829 2201152 3645658 4402304 7291316 14582632 29165264 58330528 116661056 233322112