Search a number
-
+
150224760 = 23335731641
BaseRepresentation
bin10001111010000…
…11111101111000
3101110200012122000
420331003331320
5301424143020
622523501000
73502614030
oct1075037570
9343605560
10150224760
11778860a4
1242387760
132517a2ba
1415d468c0
15d2c6090
hex8f43f78

150224760 has 256 divisors, whose sum is σ = 591667200. Its totient is φ = 33177600.

The previous prime is 150224749. The next prime is 150224803. The reversal of 150224760 is 67422051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234040 + ... + 234680.

It is an arithmetic number, because the mean of its divisors is an integer number (2311200).

Almost surely, 2150224760 is an apocalyptic number.

150224760 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 150224760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295833600).

150224760 is an abundant number, since it is smaller than the sum of its proper divisors (441442440).

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

150224760 is a wasteful number, since it uses less digits than its factorization.

150224760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 150224760 is about 12256.6210678147. The cubic root of 150224760 is about 531.5945334191.

It can be divided in two parts, 1502 and 24760, that added together give a palindrome (26262).

The spelling of 150224760 in words is "one hundred fifty million, two hundred twenty-four thousand, seven hundred sixty".