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146222568 = 23326133313
BaseRepresentation
bin10001011011100…
…10110111101000
3101012010212122200
420231302313220
5244413110233
622302020200
73423604602
oct1055626750
9335125580
10146222568
11755a21a8
1240b77660
13243a873b
14155c4172
15cc85313
hex8b72de8

146222568 has 48 divisors (see below), whose sum is σ = 396785220. Its totient is φ = 48646656.

The previous prime is 146222543. The next prime is 146222581. The reversal of 146222568 is 865222641.

It is a happy number.

146222568 is a `hidden beast` number, since 1 + 4 + 622 + 25 + 6 + 8 = 666.

146222568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144432324 + 1790244 = 12018^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42480 + ... + 45792.

Almost surely, 2146222568 is an apocalyptic number.

146222568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146222568 is an abundant number, since it is smaller than the sum of its proper divisors (250562652).

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

146222568 is a wasteful number, since it uses less digits than its factorization.

146222568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3931 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 146222568 is about 12092.2523956457. The cubic root of 146222568 is about 526.8311782890.

The spelling of 146222568 in words is "one hundred forty-six million, two hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 613 1226 1839 2452 3313 3678 4904 5517 6626 7356 9939 11034 13252 14712 19878 22068 26504 29817 39756 44136 59634 79512 119268 238536 2030869 4061738 6092607 8123476 12185214 16246952 18277821 24370428 36555642 48740856 73111284 146222568