Search a number
-
+
2150835264 = 2632191491319
BaseRepresentation
bin1000000000110011…
…0010010001000000
312112220011202022100
42000030302101000
513401103212024
6553231510400
7104204540514
oct20014622100
95486152270
102150835264
11a040aa406
12500388400
132837a94b6
14165920144
15c8c597c9
hex80332440

2150835264 has 168 divisors, whose sum is σ = 6537960000. Its totient is φ = 674141184.

The previous prime is 2150835263. The next prime is 2150835287. The reversal of 2150835264 is 4625380512.

2150835264 is a `hidden beast` number, since 2 + 1 + 50 + 83 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2150835263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629997 + ... + 1631315.

Almost surely, 22150835264 is an apocalyptic number.

2150835264 is a gapful number since it is divisible by the number (24) 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 2150835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268980000).

2150835264 is an abundant number, since it is smaller than the sum of its proper divisors (4387124736).

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

2150835264 is a wasteful number, since it uses less digits than its factorization.

2150835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2150835264 is about 46377.0984862141. The cubic root of 2150835264 is about 1290.8299976765.

The spelling of 2150835264 in words is "two billion, one hundred fifty million, eight hundred thirty-five thousand, two hundred sixty-four".