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233253234 = 232193132179
BaseRepresentation
bin11011110011100…
…10100101110010
3121020220111021200
431321302211302
5434203100414
635051232030
75531422404
oct1571624562
9536814250
10233253234
1110a735675
1266148616
133942ac86
1422d9ab74
1515727109
hexde72972

233253234 has 48 divisors (see below), whose sum is σ = 533925600. Its totient is φ = 73389888.

The previous prime is 233253227. The next prime is 233253239. The reversal of 233253234 is 432352332.

233253234 is a `hidden beast` number, since 2 + 332 + 5 + 323 + 4 = 666.

233253234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233253198 and 233253207.

It is not an unprimeable number, because it can be changed into a prime (233253239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105957 + ... + 108135.

It is an arithmetic number, because the mean of its divisors is an integer number (11123450).

Almost surely, 2233253234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233253234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266962800).

233253234 is an abundant number, since it is smaller than the sum of its proper divisors (300672366).

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

233253234 is a wasteful number, since it uses less digits than its factorization.

233253234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2516 counting only the distinct ones).

The product of its digits is 12960, while the sum is 27.

The square root of 233253234 is about 15272.6302253410. The cubic root of 233253234 is about 615.5677960676.

The spelling of 233253234 in words is "two hundred thirty-three million, two hundred fifty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 313 342 626 939 1878 2179 2817 4358 5634 5947 6537 11894 13074 17841 19611 35682 39222 41401 53523 82802 107046 124203 248406 372609 682027 745218 1364054 2046081 4092162 6138243 12276486 12958513 25917026 38875539 77751078 116626617 233253234