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133197232 = 24723291783
BaseRepresentation
bin1111111000001…
…10110110110000
3100021122010020211
413330012312300
5233044302412
621114513504
73205105060
oct774066660
9307563224
10133197232
1169206063
1238735894
1321797b3c
14139933a0
15ba60ca7
hex7f06db0

133197232 has 80 divisors (see below), whose sum is σ = 318551040. Its totient is φ = 52690176.

The previous prime is 133197223. The next prime is 133197241. The reversal of 133197232 is 232791331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133197223) and next prime (133197241).

It is a super-2 number, since 2×1331972322 = 35483005224923648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133197194 and 133197203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73813 + ... + 75595.

It is an arithmetic number, because the mean of its divisors is an integer number (3981888).

Almost surely, 2133197232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133197232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159275520).

133197232 is an abundant number, since it is smaller than the sum of its proper divisors (185353808).

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

133197232 is a wasteful number, since it uses less digits than its factorization.

133197232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 133197232 is about 11541.1105184900. The cubic root of 133197232 is about 510.6990695247.

The spelling of 133197232 in words is "one hundred thirty-three million, one hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 1783 2576 2668 3248 3566 4669 5336 7132 9338 10672 12481 14264 18676 24962 28528 37352 41009 49924 51707 74704 82018 99848 103414 164036 199696 206828 287063 328072 361949 413656 574126 656144 723898 827312 1148252 1189261 1447796 2296504 2378522 2895592 4593008 4757044 5791184 8324827 9514088 16649654 19028176 33299308 66598616 133197232