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159032224 = 2513537213
BaseRepresentation
bin10010111101010…
…10001110100000
3102002020200012101
421132222032200
5311203012344
623440340144
73640515541
oct1136521640
9362220171
10159032224
118185129a
1245314654
1326c42110
141719a4c8
15de659d4
hex97aa3a0

159032224 has 48 divisors (see below), whose sum is σ = 343588392. Its totient is φ = 72004608.

The previous prime is 159032221. The next prime is 159032239. The reversal of 159032224 is 422230951.

It can be written as a sum of positive squares in 4 ways, for example, as 145636624 + 13395600 = 12068^2 + 3660^2 .

It is a junction number, because it is equal to n+sod(n) for n = 159032192 and 159032201.

It is not an unprimeable number, because it can be changed into a prime (159032221) by changing a digit.

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, 18442 + ... + 25654.

Almost surely, 2159032224 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 159032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171794196).

159032224 is an abundant number, since it is smaller than the sum of its proper divisors (184556168).

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

159032224 is a wasteful number, since it uses less digits than its factorization.

159032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 159032224 is about 12610.7979128999. The cubic root of 159032224 is about 541.7867472580.

The spelling of 159032224 in words is "one hundred fifty-nine million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1378 1696 2756 5512 7213 11024 14426 22048 28852 57704 93769 115408 187538 230816 375076 382289 750152 764578 1500304 1529156 3000608 3058312 4969757 6116624 9939514 12233248 19879028 39758056 79516112 159032224