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149482224 = 243217227269
BaseRepresentation
bin10001110100011…
…10101011110000
3101102021111001200
420322032223300
5301231412344
622455531200
73463402143
oct1072165360
9342244050
10149482224
1177419231
1242089b00
1324c7a328
1415bd205a
15d1cb069
hex8e8eaf0

149482224 has 120 divisors (see below), whose sum is σ = 446556240. Its totient is φ = 46516224.

The previous prime is 149482213. The next prime is 149482243. The reversal of 149482224 is 422284941.

149482224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555562 + ... + 555830.

It is an arithmetic number, because the mean of its divisors is an integer number (3721302).

Almost surely, 2149482224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149482224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223278120).

149482224 is an abundant number, since it is smaller than the sum of its proper divisors (297074016).

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

149482224 is a wasteful number, since it uses less digits than its factorization.

149482224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 149482224 is about 12226.2923243312. The cubic root of 149482224 is about 530.7172252473.

The spelling of 149482224 in words is "one hundred forty-nine million, four hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 227 269 272 306 408 454 538 612 681 807 816 908 1076 1224 1362 1614 1816 2043 2152 2421 2448 2724 3228 3632 3859 4086 4304 4573 4842 5448 6456 7718 8172 9146 9684 10896 11577 12912 13719 15436 16344 18292 19368 23154 27438 30872 32688 34731 36584 38736 41157 46308 54876 61063 61744 69462 73168 82314 92616 109752 122126 138924 164628 183189 185232 219504 244252 277848 329256 366378 488504 549567 555696 658512 732756 977008 1038071 1099134 1465512 2076142 2198268 2931024 3114213 4152284 4396536 6228426 8304568 8793072 9342639 12456852 16609136 18685278 24913704 37370556 49827408 74741112 149482224