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133231364 = 22723443467
BaseRepresentation
bin1111111000011…
…11001100000100
3100021200212001222
413330033030010
5233101400424
621115335512
73205306430
oct774171404
9307625058
10133231364
1169229772
1238751598
13217aa536
14139a19c0
15ba6ae5e
hex7f0f304

133231364 has 48 divisors (see below), whose sum is σ = 279272448. Its totient is φ = 54376608.

The previous prime is 133231349. The next prime is 133231369. The reversal of 133231364 is 463132331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133231369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285059 + ... + 285525.

It is an arithmetic number, because the mean of its divisors is an integer number (5818176).

Almost surely, 2133231364 is an apocalyptic number.

133231364 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 133231364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

133231364 is an abundant number, since it is smaller than the sum of its proper divisors (146041084).

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

133231364 is a wasteful number, since it uses less digits than its factorization.

133231364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 133231364 is about 11542.5891376242. The cubic root of 133231364 is about 510.7426882788.

Adding to 133231364 its reverse (463132331), we get a palindrome (596363695).

The spelling of 133231364 in words is "one hundred thirty-three million, two hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 443 467 644 886 934 1772 1868 3101 3269 6202 6538 10189 10741 12404 13076 20378 21482 40756 42964 71323 75187 142646 150374 206881 285292 300748 413762 827524 1448167 2896334 4758263 5792668 9516526 19033052 33307841 66615682 133231364