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146226366 = 232111356809
BaseRepresentation
bin10001011011100…
…11110010111110
3101012011001212100
420231303302332
5244413220431
622302045530
73423621636
oct1055636276
9335131770
10146226366
11755a5040
1240b798a6
13243aa3a0
14155c56c6
15cc864e6
hex8b73cbe

146226366 has 48 divisors (see below), whose sum is σ = 372219120. Its totient is φ = 40901760.

The previous prime is 146226343. The next prime is 146226371. The reversal of 146226366 is 663622641.

146226366 is a `hidden beast` number, since 14 + 6 + 2 + 2 + 636 + 6 = 666.

It is a super-2 number, since 2×1462263662 = 42764300227131912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146226366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25831 + ... + 30978.

It is an arithmetic number, because the mean of its divisors is an integer number (7754565).

Almost surely, 2146226366 is an apocalyptic number.

146226366 is an abundant number, since it is smaller than the sum of its proper divisors (225992754).

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

146226366 is a wasteful number, since it uses less digits than its factorization.

146226366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56841 (or 56838 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 146226366 is about 12092.4094373289. The cubic root of 146226366 is about 526.8357395719.

The spelling of 146226366 in words is "one hundred forty-six million, two hundred twenty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 56809 113618 170427 340854 511281 624899 738517 1022562 1249798 1477034 1874697 2215551 3749394 4431102 5624091 6646653 8123687 11248182 13293306 16247374 24371061 48742122 73113183 146226366