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133355988 = 22329738189
BaseRepresentation
bin1111111001011…
…01100111010100
3100021221012000200
413330231213110
5233114342423
621122140500
73206335653
oct774554724
9307835020
10133355988
1169304367
12387b1730
132182218c
14139d519a
15ba92d43
hex7f2d9d4

133355988 has 36 divisors (see below), whose sum is σ = 340578420. Its totient is φ = 43992576.

The previous prime is 133355983. The next prime is 133356019. The reversal of 133355988 is 889553331.

133355988 is a `hidden beast` number, since 13 + 3 + 3 + 559 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 100040004 = 5772^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1333559882 = 35567639070912288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133355983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15603 + ... + 22586.

Almost surely, 2133355988 is an apocalyptic number.

133355988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133355988 is an abundant number, since it is smaller than the sum of its proper divisors (207222432).

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

133355988 is a wasteful number, since it uses less digits than its factorization.

133355988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38296 (or 38291 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 133355988 is about 11547.9863179690. The cubic root of 133355988 is about 510.9018874317.

The spelling of 133355988 in words is "one hundred thirty-three million, three hundred fifty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 38189 76378 114567 152756 229134 343701 458268 687402 1374804 3704333 7408666 11112999 14817332 22225998 33338997 44451996 66677994 133355988