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2220686907280 = 24583617331973
BaseRepresentation
bin100000010100001011010…
…000010001011110010000
321212021222111012022100121
4200110023100101132100
5242340431322013110
64420100335200024
7316303456160062
oct40241320213620
97767874168317
102220686907280
11786873958676
122ba473676014
1313154366508a
14796a6183732
153cb72655cda
hex2050b411790

2220686907280 has 40 divisors (see below), whose sum is σ = 5163174359352. Its totient is φ = 888261464064.

The previous prime is 2220686907239. The next prime is 2220686907281. The reversal of 2220686907280 is 827096860222.

It can be written as a sum of positive squares in 4 ways, for example, as 747512409744 + 1473174497536 = 864588^2 + 1213744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22206869072802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220686907281) 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, 6523374 + ... + 6855346.

Almost surely, 22220686907280 is an apocalyptic number.

2220686907280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220686907280 is an abundant number, since it is smaller than the sum of its proper divisors (2942487452072).

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

2220686907280 is a wasteful number, since it uses less digits than its factorization.

2220686907280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415603 (or 415597 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 2220686907280 in words is "two trillion, two hundred twenty billion, six hundred eighty-six million, nine hundred seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83617 167234 331973 334468 418085 663946 668936 836170 1327892 1337872 1659865 1672340 2655784 3319730 3344680 5311568 6639460 6689360 13278920 26557840 27758586341 55517172682 111034345364 138792931705 222068690728 277585863410 444137381456 555171726820 1110343453640 2220686907280