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147238146 = 23211799413
BaseRepresentation
bin10001100011010…
…10110100000010
3101021001110202200
420301222310002
5300143110041
622335454030
73435334506
oct1061526402
9337043680
10147238146
1176126220
1241387316
1324672a83
14157aa306
15cdd61b6
hex8c6ad02

147238146 has 48 divisors (see below), whose sum is σ = 352460160. Its totient is φ = 44048160.

The previous prime is 147238097. The next prime is 147238151. The reversal of 147238146 is 641832741.

It is a self number, because there is not a number n which added to its sum of digits gives 147238146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10936 + ... + 20348.

It is an arithmetic number, because the mean of its divisors is an integer number (7342920).

Almost surely, 2147238146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147238146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176230080).

147238146 is an abundant number, since it is smaller than the sum of its proper divisors (205222014).

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

147238146 is a wasteful number, since it uses less digits than its factorization.

147238146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9508 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 147238146 is about 12134.1726541203. The cubic root of 147238146 is about 528.0480543385.

The spelling of 147238146 in words is "one hundred forty-seven million, two hundred thirty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 7821 9413 15642 18826 28239 56478 84717 103543 169434 207086 310629 621258 743627 931887 1487254 1863774 2230881 4461762 6692643 8179897 13385286 16359794 24539691 49079382 73619073 147238146