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133399224 = 233579803
BaseRepresentation
bin1111111001110…
…00001010111000
3100022000101100000
413330320022320
5233122233344
621123113000
73206606010
oct774701270
9308011300
10133399224
11693338a2
1238812760
1321838a6a
1413a06c40
15baa0a69
hex7f382b8

133399224 has 96 divisors (see below), whose sum is σ = 428238720. Its totient is φ = 38110176.

The previous prime is 133399223. The next prime is 133399237. The reversal of 133399224 is 422993331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133399223) 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, 8707 + ... + 18509.

It is an arithmetic number, because the mean of its divisors is an integer number (4460820).

Almost surely, 2133399224 is an apocalyptic number.

133399224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133399224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214119360).

133399224 is an abundant number, since it is smaller than the sum of its proper divisors (294839496).

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

133399224 is an equidigital number, since it uses as much as digits as its factorization.

133399224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9815 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 133399224 is about 11549.8581809475. The cubic root of 133399224 is about 510.9570954693.

The spelling of 133399224 in words is "one hundred thirty-three million, three hundred ninety-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 9803 13608 19606 29409 39212 58818 68621 78424 88227 117636 137242 176454 205863 235272 264681 274484 352908 411726 529362 548968 617589 705816 794043 823452 1058724 1235178 1588086 1646904 1852767 2117448 2382129 2470356 3176172 3705534 4764258 4940712 5558301 6352344 7411068 9528516 11116602 14822136 16674903 19057032 22233204 33349806 44466408 66699612 133399224