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2292220482048 = 293271773173331
BaseRepresentation
bin100001010110110010111…
…111001101001000000000
322010010121210020102022200
4201112302333031020000
5300023431420411143
64513010452033200
7324415234422150
oct41266277151000
98103553212280
102292220482048
11804141782102
123102b8002800
13138203728b03
147cd3071c760
153e95c6e41d3
hex215b2fcd200

2292220482048 has 960 divisors, whose sum is σ = 8186542670592. Its totient is φ = 602611384320.

The previous prime is 2292220482007. The next prime is 2292220482091. The reversal of 2292220482048 is 8402840222922.

2292220482048 is a `hidden beast` number, since 22 + 92 + 2 + 20 + 482 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2292220481994 and 2292220482012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6925137243 + ... + 6925137573.

Almost surely, 22292220482048 is an apocalyptic number.

2292220482048 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 2292220482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093271335296).

2292220482048 is an abundant number, since it is smaller than the sum of its proper divisors (5894322188544).

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

2292220482048 is a wasteful number, since it uses less digits than its factorization.

2292220482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2292220482048 in words is "two trillion, two hundred ninety-two billion, two hundred twenty million, four hundred eighty-two thousand, forty-eight".