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150225852 = 223716710709
BaseRepresentation
bin10001111010001…
…00001110111100
3101110200021010110
420331010032330
5301424211402
622523510020
73502620150
oct1075041674
9343607113
10150225852
11778869a7
1242388310
132517a94a
1415d47060
15d2c656c
hex8f443bc

150225852 has 48 divisors (see below), whose sum is σ = 403038720. Its totient is φ = 42660672.

The previous prime is 150225841. The next prime is 150225877. The reversal of 150225852 is 258522051.

150225852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8674 + ... + 19382.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2150225852 is an apocalyptic number.

150225852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150225852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201519360).

150225852 is an abundant number, since it is smaller than the sum of its proper divisors (252812868).

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

150225852 is a wasteful number, since it uses less digits than its factorization.

150225852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10890 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 150225852 is about 12256.6656150847. The cubic root of 150225852 is about 531.5958214887.

The spelling of 150225852 in words is "one hundred fifty million, two hundred twenty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 10709 14028 21418 32127 42836 64254 74963 128508 149926 224889 299852 449778 899556 1788403 3576806 5365209 7153612 10730418 12518821 21460836 25037642 37556463 50075284 75112926 150225852