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133231220 = 225292892
BaseRepresentation
bin1111111000011…
…11001001110100
3100021200211212122
413330033021310
5233101344340
621115335112
73205306133
oct774171164
9307624778
10133231220
1169229651
1238751498
13217aa455
14139a191a
15ba6adb5
hex7f0f274

133231220 has 54 divisors (see below), whose sum is σ = 293058402. Its totient is φ = 50876672.

The previous prime is 133231207. The next prime is 133231223. The reversal of 133231220 is 22132331.

It can be written as a sum of positive squares in 9 ways, for example, as 64705936 + 68525284 = 8044^2 + 8278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133231223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1496936 + ... + 1497024.

Almost surely, 2133231220 is an apocalyptic number.

133231220 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 133231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146529201).

133231220 is an abundant number, since it is smaller than the sum of its proper divisors (159827182).

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

133231220 is an equidigital number, since it uses as much as digits as its factorization.

133231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133231220 is about 11542.5828998539. The cubic root of 133231220 is about 510.7425042706.

Adding to 133231220 its reverse (22132331), we get a palindrome (155363551).

The spelling of 133231220 in words is "one hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 841 890 1682 1780 2581 3364 4205 5162 7921 8410 10324 12905 15842 16820 25810 31684 39605 51620 74849 79210 149698 158420 229709 299396 374245 459418 748490 918836 1148545 1496980 2297090 4594180 6661561 13323122 26646244 33307805 66615610 133231220