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233054332 = 22741892281
BaseRepresentation
bin11011110010000…
…10000001111100
3121020112101102221
431321002001330
5434130214312
635043055124
75526633460
oct1571020174
9536471387
10233054332
1110a60a195
12660714a4
133938b594
1422d484a0
15156d8207
hexde4207c

233054332 has 48 divisors (see below), whose sum is σ = 483053760. Its totient is φ = 96307200.

The previous prime is 233054329. The next prime is 233054357. The reversal of 233054332 is 233450332.

It is a junction number, because it is equal to n+sod(n) for n = 233054297 and 233054306.

It is a congruent number.

It is an unprimeable number.

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, 101032 + ... + 103312.

It is an arithmetic number, because the mean of its divisors is an integer number (10063620).

Almost surely, 2233054332 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 233054332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241526880).

233054332 is an abundant number, since it is smaller than the sum of its proper divisors (249999428).

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

233054332 is a wasteful number, since it uses less digits than its factorization.

233054332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 233054332 is about 15266.1171225692. The cubic root of 233054332 is about 615.3927752940.

The spelling of 233054332 in words is "two hundred thirty-three million, fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 89 164 178 287 356 574 623 1148 1246 2281 2492 3649 4562 7298 9124 14596 15967 25543 31934 51086 63868 93521 102172 187042 203009 374084 406018 654647 812036 1309294 1421063 2618588 2842126 5684252 8323369 16646738 33293476 58263583 116527166 233054332