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350886228 = 223711401947
BaseRepresentation
bin10100111010100…
…001100101010100
3220110020212102020
4110322201211110
51204311324403
654452413140
711460324630
oct2472414524
9813225366
10350886228
11170080020
12996171b0
13579066b4
143485bdc0
1520c11453
hex14ea1954

350886228 has 96 divisors (see below), whose sum is σ = 1024386048. Its totient is φ = 90816000.

The previous prime is 350886191. The next prime is 350886247. The reversal of 350886228 is 822688053.

It is a super-2 number, since 2×3508862282 = 246242290000135968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 350886228.

It is a congruent number.

It is an unprimeable number.

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, 370051 + ... + 370997.

It is an arithmetic number, because the mean of its divisors is an integer number (10670688).

Almost surely, 2350886228 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 350886228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512193024).

350886228 is an abundant number, since it is smaller than the sum of its proper divisors (673499820).

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

350886228 is a wasteful number, since it uses less digits than its factorization.

350886228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 350886228 is about 18731.9573990547. The cubic root of 350886228 is about 705.3241826811.

The spelling of 350886228 in words is "three hundred fifty million, eight hundred eighty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 401 462 802 924 947 1203 1604 1894 2406 2807 2841 3788 4411 4812 5614 5682 6629 8421 8822 10417 11228 11364 13233 13258 16842 17644 19887 20834 26466 26516 30877 31251 33684 39774 41668 52932 61754 62502 72919 79548 92631 123508 125004 145838 185262 218757 291676 370524 379747 437514 759494 875028 1139241 1518988 2278482 2658229 4177217 4556964 5316458 7974687 8354434 10632916 12531651 15949374 16708868 25063302 29240519 31898748 50126604 58481038 87721557 116962076 175443114 350886228