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146220456 = 2338776947
BaseRepresentation
bin10001011011100…
…10010110101000
3101012010202202110
420231302112220
5244413023311
622302002320
73423565464
oct1055622650
9335122673
10146220456
11755a0658
1240b763a0
13243a77a5
14155c34a4
15cc848a6
hex8b725a8

146220456 has 32 divisors (see below), whose sum is σ = 366020640. Its totient is φ = 48677568.

The previous prime is 146220449. The next prime is 146220463. The reversal of 146220456 is 654022641.

It is an interprime number because it is at equal distance from previous prime (146220449) and next prime (146220463).

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 7 ways as a sum of consecutive naturals, for example, 17575 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (11438145).

Almost surely, 2146220456 is an apocalyptic number.

It is an amenable number.

146220456 is an abundant number, since it is smaller than the sum of its proper divisors (219800184).

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

146220456 is a wasteful number, since it uses less digits than its factorization.

146220456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 146220456 is about 12092.1650666868. The cubic root of 146220456 is about 526.8286418069.

The spelling of 146220456 in words is "one hundred forty-six million, two hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 877 1754 2631 3508 5262 6947 7016 10524 13894 20841 21048 27788 41682 55576 83364 166728 6092519 12185038 18277557 24370076 36555114 48740152 73110228 146220456