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221220122240420 = 22567175399412717
BaseRepresentation
bin110010010011001011010010…
…110011011010010110100100
31002000021102210200100101210022
4302103023102303122112210
5212443432302243143140
62102255042101414312
764411424566301432
oct6223132263322644
91060242720311708
10221220122240420
116453aa21898536
1220989b3740a398
139658c77964b44
143c8b17a9d1d52
151a8969a4760b5
hexc932d2cda5a4

221220122240420 has 48 divisors (see below), whose sum is σ = 471522954544320. Its totient is φ = 87162352573824.

The previous prime is 221220122240399. The next prime is 221220122240423. The reversal of 221220122240420 is 24042221022122.

It is a self number, because there is not a number n which added to its sum of digits gives 221220122240420.

It is not an unprimeable number, because it can be changed into a prime (221220122240423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18795902 + ... + 28208618.

It is an arithmetic number, because the mean of its divisors is an integer number (9823394886340).

Almost surely, 2221220122240420 is an apocalyptic number.

221220122240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220122240420 is an abundant number, since it is smaller than the sum of its proper divisors (250302832303900).

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

221220122240420 is a wasteful number, since it uses less digits than its factorization.

221220122240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430332 (or 9430330 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 221220122240420 its reverse (24042221022122), we get a palindrome (245262343262542).

The spelling of 221220122240420 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 17539 35078 70156 87695 175390 350780 1175113 2350226 4700452 5875565 9412717 11751130 18825434 23502260 37650868 47063585 94127170 188254340 630652039 1261304078 2522608156 3153260195 6306520390 12613040780 165089643463 330179286926 660358573852 825448217315 1650896434630 3301792869260 11061006112021 22122012224042 44244024448084 55305030560105 110610061120210 221220122240420