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233288052 = 22366129411
BaseRepresentation
bin11011110011110…
…11000101110100
3121020222021001020
431321323011310
5434210204202
635052101140
75531626044
oct1571730564
9536867036
10233288052
1110a759848
12661647b0
1339440a8a
1422da9724
15157325bc
hexde7b174

233288052 has 24 divisors (see below), whose sum is σ = 545180832. Its totient is φ = 77642400.

The previous prime is 233288021. The next prime is 233288053. The reversal of 233288052 is 250882332.

It is a super-3 number, since 3×2332880523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233288053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6774 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (22715868).

Almost surely, 2233288052 is an apocalyptic number.

It is an amenable number.

233288052 is an abundant number, since it is smaller than the sum of its proper divisors (311892780).

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

233288052 is a wasteful number, since it uses less digits than its factorization.

233288052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30079 (or 30077 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 233288052 is about 15273.7700650494. The cubic root of 233288052 is about 615.5984234003.

The spelling of 233288052 in words is "two hundred thirty-three million, two hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 12 661 1322 1983 2644 3966 7932 29411 58822 88233 117644 176466 352932 19440671 38881342 58322013 77762684 116644026 233288052