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150552224 = 2529533061
BaseRepresentation
bin10001111100100…
…11111010100000
3101111021211211022
420332103322200
5302020132344
622534505012
73505446524
oct1076237240
9344254738
10150552224
1177a8a129
1242505168
1325263374
1415dcdd84
15d33d0ee
hex8f93ea0

150552224 has 48 divisors (see below), whose sum is σ = 312507720. Its totient is φ = 71285760.

The previous prime is 150552197. The next prime is 150552229. The reversal of 150552224 is 422255051.

150552224 is digitally balanced in base 2, 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 4 ways, for example, as 150503824 + 48400 = 12268^2 + 220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150552193 and 150552202.

It is not an unprimeable number, because it can be changed into a prime (150552229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47654 + ... + 50714.

Almost surely, 2150552224 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 150552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156253860).

150552224 is an abundant number, since it is smaller than the sum of its proper divisors (161955496).

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

150552224 is a wasteful number, since it uses less digits than its factorization.

150552224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 150552224 is about 12269.9724531068. The cubic root of 150552224 is about 531.9805144841.

The spelling of 150552224 in words is "one hundred fifty million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 424 464 848 928 1537 1696 3061 3074 6122 6148 12244 12296 24488 24592 48976 49184 88769 97952 162233 177538 324466 355076 648932 710152 1297864 1420304 2595728 2840608 4704757 5191456 9409514 18819028 37638056 75276112 150552224