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233455230 = 23354121089
BaseRepresentation
bin11011110101000…
…11111001111110
3121021021202101000
431322203321332
5434231031410
635055431130
75533223331
oct1572437176
9537252330
10233455230
1110a863408
12662254a6
133949bbb8
1423010618
1515766dc0
hexdea3e7e

233455230 has 64 divisors (see below), whose sum is σ = 637761600. Its totient is φ = 60733440.

The previous prime is 233455217. The next prime is 233455297. The reversal of 233455230 is 32554332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233455194 and 233455203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526 + ... + 21614.

It is an arithmetic number, because the mean of its divisors is an integer number (9965025).

Almost surely, 2233455230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233455230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318880800).

233455230 is an abundant number, since it is smaller than the sum of its proper divisors (404306370).

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

233455230 is a wasteful number, since it uses less digits than its factorization.

233455230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21146 (or 21140 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 233455230 is about 15279.2418005607. The cubic root of 233455230 is about 615.7454375583.

The spelling of 233455230 in words is "two hundred thirty-three million, four hundred fifty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 21089 42178 63267 105445 126534 189801 210890 316335 379602 569403 632670 864649 949005 1138806 1729298 1898010 2593947 2847015 4323245 5187894 5694030 7781841 8646490 12969735 15563682 23345523 25939470 38909205 46691046 77818410 116727615 233455230