Search a number
-
+
2272251384 = 2332132997863
BaseRepresentation
bin1000011101101111…
…1100110111111000
312212100122022220200
42013123330313320
514123144021014
61013250122200
7110210550414
oct20733746770
95770568820
102272251384
11a66699107
12534b80360
132a29aab60
14177ac7d44
15d473ea09
hex876fcdf8

2272251384 has 192 divisors, whose sum is σ = 6934636800. Its totient is φ = 667312128.

The previous prime is 2272251383. The next prime is 2272251391. The reversal of 2272251384 is 4831522722.

2272251384 is a `hidden beast` number, since 2 + 27 + 2 + 251 + 384 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272251383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632537 + ... + 2633399.

It is an arithmetic number, because the mean of its divisors is an integer number (36117900).

Almost surely, 22272251384 is an apocalyptic number.

2272251384 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 2272251384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467318400).

2272251384 is an abundant number, since it is smaller than the sum of its proper divisors (4662385416).

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

2272251384 is a wasteful number, since it uses less digits than its factorization.

2272251384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2272251384 is about 47668.1380378970. The cubic root of 2272251384 is about 1314.6761738829.

The spelling of 2272251384 in words is "two billion, two hundred seventy-two million, two hundred fifty-one thousand, three hundred eighty-four".