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2272112832 = 26311317523
BaseRepresentation
bin1000011101101101…
…1011000011000000
312212100101021212010
42013123123003000
514123130102312
61013243132520
7110206432443
oct20733330300
95770337763
102272112832
11a66604000
12534b14140
132a295ca82
14177a8d65a
15d471393c
hex876db0c0

2272112832 has 224 divisors, whose sum is σ = 7014691584. Its totient is φ = 646778880.

The previous prime is 2272112827. The next prime is 2272112837. The reversal of 2272112832 is 2382112722.

It is an interprime number because it is at equal distance from previous prime (2272112827) and next prime (2272112837).

It is a self number, because there is not a number n which added to its sum of digits gives 2272112832.

It is not an unprimeable number, because it can be changed into a prime (2272112837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4344123 + ... + 4344645.

Almost surely, 22272112832 is an apocalyptic number.

2272112832 is a gapful number since it is divisible by the number (22) 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 2272112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507345792).

2272112832 is an abundant number, since it is smaller than the sum of its proper divisors (4742578752).

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

2272112832 is a wasteful number, since it uses less digits than its factorization.

2272112832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 556 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2272112832 is about 47666.6847179453. The cubic root of 2272112832 is about 1314.6494522627.

It can be divided in two parts, 22721 and 12832, that added together give a palindrome (35553).

The spelling of 2272112832 in words is "two billion, two hundred seventy-two million, one hundred twelve thousand, eight hundred thirty-two".