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133229064 = 233192312703
BaseRepresentation
bin1111111000011…
…10101000001000
3100021200201220210
413330032220020
5233101312224
621115321120
73205266633
oct774165010
9307621823
10133229064
1169227a71
12387501a0
13217a9487
14139a0c1a
15ba6a429
hex7f0ea08

133229064 has 64 divisors (see below), whose sum is σ = 365875200. Its totient is φ = 40239936.

The previous prime is 133229059. The next prime is 133229081. The reversal of 133229064 is 460922331.

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, 4137 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (5716800).

Almost surely, 2133229064 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 133229064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182937600).

133229064 is an abundant number, since it is smaller than the sum of its proper divisors (232646136).

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

133229064 is a wasteful number, since it uses less digits than its factorization.

133229064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 133229064 is about 11542.4895061681. The cubic root of 133229064 is about 510.7397492438.

The spelling of 133229064 in words is "one hundred thirty-three million, two hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 12703 25406 38109 50812 76218 101624 152436 241357 292169 304872 482714 584338 724071 876507 965428 1168676 1448142 1753014 1930856 2337352 2896284 3506028 5551211 5792568 7012056 11102422 16653633 22204844 33307266 44409688 66614532 133229064