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133397220 = 223511359563
BaseRepresentation
bin1111111001101…
…11101011100100
3100022000021120210
413330313223210
5233122202340
621123055420
73206600115
oct774675344
9308007523
10133397220
1169332340
1238811570
1321837b88
1413a0620c
15baa0180
hex7f37ae4

133397220 has 96 divisors (see below), whose sum is σ = 409328640. Its totient is φ = 32191360.

The previous prime is 133397219. The next prime is 133397227. The reversal of 133397220 is 22793331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133397227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236659 + ... + 237221.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2133397220 is an apocalyptic number.

133397220 is a gapful number since it is divisible by the number (10) 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 133397220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204664320).

133397220 is an abundant number, since it is smaller than the sum of its proper divisors (275931420).

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

133397220 is a wasteful number, since it uses less digits than its factorization.

133397220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 133397220 is about 11549.7714263097. The cubic root of 133397220 is about 510.9545368259.

The spelling of 133397220 in words is "one hundred thirty-three million, three hundred ninety-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 359 563 660 718 1077 1126 1436 1689 1795 2154 2252 2815 3378 3590 3949 4308 5385 5630 6193 6756 7180 7898 8445 10770 11260 11847 12386 15796 16890 18579 19745 21540 23694 24772 30965 33780 37158 39490 47388 59235 61930 74316 78980 92895 118470 123860 185790 202117 236940 371580 404234 606351 808468 1010585 1212702 2021170 2223287 2425404 3031755 4042340 4446574 6063510 6669861 8893148 11116435 12127020 13339722 22232870 26679444 33349305 44465740 66698610 133397220