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330224132 = 22725383383
BaseRepresentation
bin10011101011101…
…101001000000100
3212000101010100102
4103223231020010
51134014133012
652433503232
711116600400
oct2353551004
9760333312
10330224132
1115a448307
1292711b18
1353550ac4
1431c00100
151dece2c2
hex13aed204

330224132 has 72 divisors (see below), whose sum is σ = 694987776. Its totient is φ = 136823232.

The previous prime is 330224129. The next prime is 330224137. The reversal of 330224132 is 231422033.

It is not an unprimeable number, because it can be changed into a prime (330224137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862013 + ... + 862395.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2330224132 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 330224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

330224132 is an abundant number, since it is smaller than the sum of its proper divisors (364763644).

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

330224132 is a wasteful number, since it uses less digits than its factorization.

330224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 330224132 is about 18172.0701077230. The cubic root of 330224132 is about 691.1987367848.

Adding to 330224132 its reverse (231422033), we get a palindrome (561646165).

The spelling of 330224132 in words is "three hundred thirty million, two hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 53 83 98 106 166 196 212 332 371 383 581 742 766 1162 1484 1532 2324 2597 2681 4067 4399 5194 5362 8134 8798 10388 10724 16268 17596 18767 20299 30793 31789 37534 40598 61586 63578 75068 81196 123172 127156 142093 215551 222523 284186 431102 445046 568372 862204 890092 994651 1557661 1684817 1989302 3115322 3369634 3978604 6230644 6739268 11793719 23587438 47174876 82556033 165112066 330224132