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2280047616 = 21035721117
BaseRepresentation
bin1000011111100110…
…1100010000000000
312212220022102100000
42013321230100000
514132143010431
61014125200000
7110334041100
oct20771542000
95786272300
102280047616
11a70033580
12537700000
132a44aa602
14178b57200
15d527e9e6
hex87e6c400

2280047616 has 792 divisors, whose sum is σ = 9173769696. Its totient is φ = 557383680.

The previous prime is 2280047591. The next prime is 2280047639. The reversal of 2280047616 is 6167400822.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134120440 + ... + 134120456.

Almost surely, 22280047616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586884848).

2280047616 is an abundant number, since it is smaller than the sum of its proper divisors (6893722080).

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

2280047616 is a wasteful number, since it uses less digits than its factorization.

2280047616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2280047616 is about 47749.8441463425. The cubic root of 2280047616 is about 1316.1780353671.

The spelling of 2280047616 in words is "two billion, two hundred eighty million, forty-seven thousand, six hundred sixteen".