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147938224 = 2472335669
BaseRepresentation
bin10001101000101…
…01101110110000
3101022101001002111
420310111232300
5300333010344
622402455104
73444311530
oct1064255660
9338331074
10147938224
11765641a5
1241664494
1324859615
141590d4c0
15cec3834
hex8d15bb0

147938224 has 40 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 63118848.

The previous prime is 147938213. The next prime is 147938243. The reversal of 147938224 is 422839741.

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, 23262 + ... + 28930.

It is an arithmetic number, because the mean of its divisors is an integer number (8226036).

Almost surely, 2147938224 is an apocalyptic number.

147938224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147938224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

147938224 is an abundant number, since it is smaller than the sum of its proper divisors (181103216).

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

147938224 is a wasteful number, since it uses less digits than its factorization.

147938224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5911 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 147938224 is about 12162.9858176354. The cubic root of 147938224 is about 528.8836404891.

The spelling of 147938224 in words is "one hundred forty-seven million, nine hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 932 1631 1864 3262 3728 5669 6524 11338 13048 22676 26096 39683 45352 79366 90704 158732 317464 634928 1320877 2641754 5283508 9246139 10567016 18492278 21134032 36984556 73969112 147938224