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2220260480226 = 233325712623867
BaseRepresentation
bin100000010011110001110…
…101100101010011100010
321212020212202210120102000
4200103301311211103202
5242334043140331401
64415550143304430
7316260060460365
oct40236165452342
97766782716360
102220260480226
11786675182718
122ba3748ab116
131314a61ccb89
14796656a00dc
153cb49ec2186
hex204f1d654e2

2220260480226 has 32 divisors (see below), whose sum is σ = 4935427433280. Its totient is φ = 739859538528.

The previous prime is 2220260480213. The next prime is 2220260480227. The reversal of 2220260480226 is 6220840620222.

It is a happy number.

2220260480226 is a `hidden beast` number, since 2 + 2 + 20 + 2 + 604 + 8 + 0 + 2 + 26 = 666.

It is a super-2 number, since 2×22202604802262 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220260480227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136056 + ... + 6487811.

It is an arithmetic number, because the mean of its divisors is an integer number (154232107290).

Almost surely, 22220260480226 is an apocalyptic number.

2220260480226 is an abundant number, since it is smaller than the sum of its proper divisors (2715166953054).

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

2220260480226 is a wasteful number, since it uses less digits than its factorization.

2220260480226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627135 (or 12627129 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2220260480226 in words is "two trillion, two hundred twenty billion, two hundred sixty million, four hundred eighty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 3257 6514 9771 19542 29313 58626 87939 175878 12623867 25247734 37871601 75743202 113614803 227229606 340844409 681688818 41115934819 82231869638 123347804457 246695608914 370043413371 740086826742 1110130240113 2220260480226