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146221968 = 2433738167
BaseRepresentation
bin10001011011100…
…10101110010000
3101012010211211110
420231302232100
5244413100333
622302013320
73423603054
oct1055625620
9335124743
10146221968
11755a1802
1240b77240
13243a8399
14155c3c64
15cc85063
hex8b72b90

146221968 has 40 divisors (see below), whose sum is σ = 378799168. Its totient is φ = 48604032.

The previous prime is 146221963. The next prime is 146221991. The reversal of 146221968 is 869122641.

It is not an unprimeable number, because it can be changed into a prime (146221961) 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 7 ways as a sum of consecutive naturals, for example, 13821 + ... + 21987.

Almost surely, 2146221968 is an apocalyptic number.

It is an amenable number.

146221968 is an abundant number, since it is smaller than the sum of its proper divisors (232577200).

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

146221968 is a wasteful number, since it uses less digits than its factorization.

146221968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8545 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 146221968 is about 12092.2275863465. The cubic root of 146221968 is about 526.8304577000.

The spelling of 146221968 in words is "one hundred forty-six million, two hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 373 746 1119 1492 2238 2984 4476 5968 8167 8952 16334 17904 24501 32668 49002 65336 98004 130672 196008 392016 3046291 6092582 9138873 12185164 18277746 24370328 36555492 48740656 73110984 146221968