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150224112 = 2433438087
BaseRepresentation
bin10001111010000…
…11110011110000
3101110200011202000
420331003303300
5301424132422
622523454000
73502612113
oct1075036360
9343604660
10150224112
1177885665
1242387300
1325179c0c
1415d4657a
15d2c5cac
hex8f43cf0

150224112 has 80 divisors (see below), whose sum is σ = 441281280. Its totient is φ = 48904128.

The previous prime is 150224099. The next prime is 150224131. The reversal of 150224112 is 211422051.

150224112 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 (18).

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, 14533 + ... + 22619.

It is an arithmetic number, because the mean of its divisors is an integer number (5516016).

Almost surely, 2150224112 is an apocalyptic number.

150224112 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 150224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220640640).

150224112 is an abundant number, since it is smaller than the sum of its proper divisors (291057168).

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

150224112 is a wasteful number, since it uses less digits than its factorization.

150224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150224112 is about 12256.5946330945. The cubic root of 150224112 is about 531.5937690672.

Adding to 150224112 its reverse (211422051), we get a palindrome (361646163).

The spelling of 150224112 in words is "one hundred fifty million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 8087 9288 16174 18576 24261 32348 48522 64696 72783 97044 129392 145566 194088 218349 291132 347741 388176 436698 582264 695482 873396 1043223 1164528 1390964 1746792 2086446 2781928 3129669 3493584 4172892 5563856 6259338 8345784 9389007 12518676 16691568 18778014 25037352 37556028 50074704 75112056 150224112