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221131308 = 223173173479
BaseRepresentation
bin11010010111000…
…11001000101100
3120102002122010110
431023203020230
5423102200213
633535340020
75323404456
oct1513431054
9512078113
10221131308
11103906252
1262081610
1336a75638
14215232d6
15146305c3
hexd2e322c

221131308 has 96 divisors (see below), whose sum is σ = 572866560. Its totient is φ = 66078720.

The previous prime is 221131307. The next prime is 221131321. The reversal of 221131308 is 803131122.

It is not an unprimeable number, because it can be changed into a prime (221131301) 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 31 ways as a sum of consecutive naturals, for example, 461413 + ... + 461891.

It is an arithmetic number, because the mean of its divisors is an integer number (5967360).

Almost surely, 2221131308 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 221131308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286433280).

221131308 is an abundant number, since it is smaller than the sum of its proper divisors (351735252).

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

221131308 is a wasteful number, since it uses less digits than its factorization.

221131308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 221131308 is about 14870.4844574748. The cubic root of 221131308 is about 604.7140765823.

The spelling of 221131308 in words is "two hundred twenty-one million, one hundred thirty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 73 93 102 124 146 186 204 219 292 372 438 479 527 876 958 1054 1241 1437 1581 1916 2108 2263 2482 2874 3162 3723 4526 4964 5748 6324 6789 7446 8143 9052 13578 14849 14892 16286 24429 27156 29698 32572 34967 38471 44547 48858 59396 69934 76942 89094 97716 104901 115413 139868 153884 178188 209802 230826 252433 419604 461652 504866 594439 757299 1009732 1083977 1188878 1514598 1783317 2167954 2377756 3029196 3251931 3566634 4335908 6503862 7133268 13007724 18427609 36855218 55282827 73710436 110565654 221131308