Search a number
-
+
150791220 = 22355192371
BaseRepresentation
bin10001111110011…
…10010000110100
3101111201222200000
420333032100310
5302100304340
622543551300
73510463356
oct1077162064
9344658600
10150791220
1178132748
12425bb530
1325318098
14160530d6
15d388d30
hex8fce434

150791220 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 35925120.

The previous prime is 150791219. The next prime is 150791227. The reversal of 150791220 is 22197051.

150791220 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150791227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2123785 + ... + 2123855.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2150791220 is an apocalyptic number.

150791220 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 150791220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

150791220 is an abundant number, since it is smaller than the sum of its proper divisors (377562060).

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

150791220 is a wasteful number, since it uses less digits than its factorization.

150791220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150791220 is about 12279.7076512432. The cubic root of 150791220 is about 532.2618653528.

The spelling of 150791220 in words is "one hundred fifty million, seven hundred ninety-one thousand, two hundred twenty".