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149320224 = 2532518473
BaseRepresentation
bin10001110011001…
…11001000100000
3101101222020211200
420321213020200
5301211221344
622452241200
73462125634
oct1071471040
9341866750
10149320224
1177318549
1242010200
1324c21681
1415b8cdc4
15d198069
hex8e67220

149320224 has 36 divisors (see below), whose sum is σ = 424630206. Its totient is φ = 49773312.

The previous prime is 149320207. The next prime is 149320267. The reversal of 149320224 is 422023941.

149320224 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 only one way, i.e., 119508624 + 29811600 = 10932^2 + 5460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 258949 + ... + 259524.

Almost surely, 2149320224 is an apocalyptic number.

It is an amenable number.

149320224 is an abundant number, since it is smaller than the sum of its proper divisors (275309982).

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

149320224 is a wasteful number, since it uses less digits than its factorization.

149320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518489 (or 518478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 149320224 is about 12219.6654618692. The cubic root of 149320224 is about 530.5254359595.

The spelling of 149320224 in words is "one hundred forty-nine million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 518473 1036946 1555419 2073892 3110838 4147784 4666257 6221676 8295568 9332514 12443352 16591136 18665028 24886704 37330056 49773408 74660112 149320224