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149428224 = 2113211267
BaseRepresentation
bin10001110100000…
…01100000000000
3101102011201222200
420322001200000
5301223200344
622454433200
73463055541
oct1072014000
9342151880
10149428224
1177391700
1242062800
1324c5b88a
1415bba4c8
15d1ba069
hex8e81800

149428224 has 216 divisors, whose sum is σ = 481457340. Its totient is φ = 44605440.

The previous prime is 149428219. The next prime is 149428247. The reversal of 149428224 is 422824941.

149428224 is a `hidden beast` number, since 1 + 4 + 9 + 428 + 224 = 666.

149428224 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2230239 + ... + 2230305.

Almost surely, 2149428224 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 149428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240728670).

149428224 is an abundant number, since it is smaller than the sum of its proper divisors (332029116).

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

149428224 is a wasteful number, since it uses less digits than its factorization.

149428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

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

The square root of 149428224 is about 12224.0837693465. The cubic root of 149428224 is about 530.6533108878.

The spelling of 149428224 in words is "one hundred forty-nine million, four hundred twenty-eight thousand, two hundred twenty-four".