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220362161641 = 2919765359069
BaseRepresentation
bin1100110100111010011…
…0111011110111101001
3210001210102021200010021
43031032212323313221
512102300203133031
6245122153520441
721630531316516
oct3151646736751
9701712250107
10220362161641
1185500771666
123685aa13121
1317a1aa4a72b
14a94651c30d
155aeadcc511
hex334e9bbde9

220362161641 has 16 divisors (see below), whose sum is σ = 229472773200. Its totient is φ = 211355699968.

The previous prime is 220362161623. The next prime is 220362161731. The reversal of 220362161641 is 146161263022.

It can be written as a sum of positive squares in 8 ways, for example, as 22778355625 + 197583806016 = 150925^2 + 444504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220362161641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220362161597 and 220362161606.

It is not an unprimeable number, because it can be changed into a prime (220362161611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3701055 + ... + 3760123.

It is an arithmetic number, because the mean of its divisors is an integer number (14342048325).

Almost surely, 2220362161641 is an apocalyptic number.

It is an amenable number.

220362161641 is a deficient number, since it is larger than the sum of its proper divisors (9110611559).

220362161641 is a wasteful number, since it uses less digits than its factorization.

220362161641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59948.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 220362161641 in words is "two hundred twenty billion, three hundred sixty-two million, one hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 29 197 653 5713 18937 59069 128641 1713001 3730589 11636593 38572057 337461197 1118589653 7598695229 220362161641