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2204116532640 = 2532511889315647
BaseRepresentation
bin100000000100101111100…
…101010011110110100000
321210201012200010001122100
4200010233211103312200
5242103012313021030
64404320202410400
7315146030255661
oct40045745236640
97721180101570
102204116532640
1177a840359980
122b720a200a00
1312cb02686879
147897357b368
153c502a45360
hex2012f953da0

2204116532640 has 288 divisors, whose sum is σ = 8206771862016. Its totient is φ = 534237050880.

The previous prime is 2204116532621. The next prime is 2204116532659. The reversal of 2204116532640 is 462356114022.

2204116532640 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 1 + 1 + 6 + 5 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2204116532621) and next prime (2204116532659).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2204116532595 and 2204116532604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140857297 + ... + 140872943.

It is an arithmetic number, because the mean of its divisors is an integer number (28495735632).

Almost surely, 22204116532640 is an apocalyptic number.

2204116532640 is a gapful number since it is divisible by the number (20) 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 2204116532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103385931008).

2204116532640 is an abundant number, since it is smaller than the sum of its proper divisors (6002655329376).

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

2204116532640 is a wasteful number, since it uses less digits than its factorization.

2204116532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24572 (or 24561 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2204116532640 in words is "two trillion, two hundred four billion, one hundred sixteen million, five hundred thirty-two thousand, six hundred forty".