Search a number
-
+
233074884 = 22373178753
BaseRepresentation
bin11011110010001…
…11000011000100
3121020120102122010
431321013003010
5434131344014
635043334220
75530050420
oct1571070304
9536512563
10233074884
1110a623679
1266081370
1339397a43
1422d51b80
15156de359
hexde470c4

233074884 has 48 divisors (see below), whose sum is σ = 623564928. Its totient is φ = 66375168.

The previous prime is 233074883. The next prime is 233074903. The reversal of 233074884 is 488470332.

233074884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2330748842 = 108647803103226912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233074883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22252 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (12990936).

Almost surely, 2233074884 is an apocalyptic number.

It is an amenable number.

233074884 is an abundant number, since it is smaller than the sum of its proper divisors (390490044).

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

233074884 is a wasteful number, since it uses less digits than its factorization.

233074884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 233074884 is about 15266.7902323966. The cubic root of 233074884 is about 615.4108643243.

Subtracting from 233074884 its sum of digits (39), we obtain a triangular number (233074845 = T21590).

The spelling of 233074884 in words is "two hundred thirty-three million, seventy-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 317 634 951 1268 1902 2219 3804 4438 6657 8753 8876 13314 17506 26259 26628 35012 52518 61271 105036 122542 183813 245084 367626 735252 2774701 5549402 8324103 11098804 16648206 19422907 33296412 38845814 58268721 77691628 116537442 233074884