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150224640 = 2835192971
BaseRepresentation
bin10001111010000…
…11111100000000
3101110200012110120
420331003330000
5301424142030
622523500240
73502613466
oct1075037400
9343605416
10150224640
1177885aa5
1242387680
132517a227
1415d46836
15d2c6010
hex8f43f00

150224640 has 288 divisors, whose sum is σ = 529804800. Its totient is φ = 36126720.

The previous prime is 150224623. The next prime is 150224651. The reversal of 150224640 is 46422051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150224640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115805 + ... + 2115875.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2150224640 is an apocalyptic number.

150224640 is a gapful number since it is divisible by the number (10) 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 150224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

150224640 is an abundant number, since it is smaller than the sum of its proper divisors (379580160).

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

150224640 is a wasteful number, since it uses less digits than its factorization.

150224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 150224640 is about 12256.6161725005. The cubic root of 150224640 is about 531.5943918726.

Adding to 150224640 its reverse (46422051), we get a palindrome (196646691).

The spelling of 150224640 in words is "one hundred fifty million, two hundred twenty-four thousand, six hundred forty".