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133230352 = 24232771307
BaseRepresentation
bin1111111000011…
…10111100010000
3100021200210200111
413330032330100
5233101332402
621115331104
73205303453
oct774167420
9307623614
10133230352
1169228a32
1238750a94
13217a9c38
14139a149a
15ba6a9d7
hex7f0ef10

133230352 has 40 divisors (see below), whose sum is σ = 270536256. Its totient is φ = 63440256.

The previous prime is 133230341. The next prime is 133230367. The reversal of 133230352 is 253032331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101283 + ... + 102589.

Almost surely, 2133230352 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 133230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135268128).

133230352 is an abundant number, since it is smaller than the sum of its proper divisors (137305904).

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

133230352 is a wasteful number, since it uses less digits than its factorization.

133230352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 133230352 is about 11542.5452998894. The cubic root of 133230352 is about 510.7413951075.

Adding to 133230352 its reverse (253032331), we get a palindrome (386262683).

It can be divided in two parts, 1332 and 30352, that added together give a square (31684 = 1782).

The spelling of 133230352 in words is "one hundred thirty-three million, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 184 277 368 554 1108 1307 2216 2614 4432 5228 6371 10456 12742 20912 25484 30061 50968 60122 101936 120244 240488 362039 480976 724078 1448156 2896312 5792624 8326897 16653794 33307588 66615176 133230352