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2239993728 = 273272291213
BaseRepresentation
bin1000010110000011…
…1001011110000000
312210002221110201200
42011200321132000
514041414244403
61010134501200
7106336426650
oct20540713600
95702843650
102239993728
11a4a466495
12526204800
132990c539b
141736cc360
15d19bbca3
hex85839780

2239993728 has 192 divisors, whose sum is σ = 7404914400. Its totient is φ = 636678144.

The previous prime is 2239993699. The next prime is 2239993739. The reversal of 2239993728 is 8273999322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846050 + ... + 1847262.

Almost surely, 22239993728 is an apocalyptic number.

2239993728 is a gapful number since it is divisible by the number (28) 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 2239993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702457200).

2239993728 is an abundant number, since it is smaller than the sum of its proper divisors (5164920672).

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

2239993728 is a wasteful number, since it uses less digits than its factorization.

2239993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1454 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2239993728 is about 47328.5720046570. The cubic root of 2239993728 is about 1308.4253028762.

The spelling of 2239993728 in words is "two billion, two hundred thirty-nine million, nine hundred ninety-three thousand, seven hundred twenty-eight".