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2822008096 = 252911932549
BaseRepresentation
bin1010100000110100…
…0110110100100000
321021200002212100101
42220031012310200
521234413224341
61144005232144
7126634446565
oct25015066440
97250085311
102822008096
111218a4a4a6
12669102654
1335c86469b
141cab1286c
15117b35831
hexa8346d20

2822008096 has 48 divisors (see below), whose sum is σ = 5754483000. Its totient is φ = 1360672768.

The previous prime is 2822008081. The next prime is 2822008097. The reversal of 2822008096 is 6908002282.

It can be written as a sum of positive squares in 4 ways, for example, as 2781507600 + 40500496 = 52740^2 + 6364^2 .

It is not an unprimeable number, because it can be changed into a prime (2822008097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105830 + ... + 1108378.

Almost surely, 22822008096 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 2822008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877241500).

2822008096 is an abundant number, since it is smaller than the sum of its proper divisors (2932474904).

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

2822008096 is a wasteful number, since it uses less digits than its factorization.

2822008096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2822008096 is about 53122.5761423521. The cubic root of 2822008096 is about 1413.1429139052.

The spelling of 2822008096 in words is "two billion, eight hundred twenty-two million, eight thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1193 2386 2549 4772 5098 9544 10196 19088 20392 34597 38176 40784 69194 73921 81568 138388 147842 276776 295684 553552 591368 1107104 1182736 2365472 3040957 6081914 12163828 24327656 48655312 88187753 97310624 176375506 352751012 705502024 1411004048 2822008096