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2220165560484 = 22364126732
BaseRepresentation
bin100000010011101100001…
…011011111100010100100
321212020122011012011000000
4200103230023133202210
5242333344340413414
64415532513021300
7316254525614424
oct40235413374244
97766564164000
102220165560484
11786626641053
122ba348b54830
1313148c647851
1479656c32484
153cb419c2b09
hex204ec2df8a4

2220165560484 has 189 divisors, whose sum is σ = 5979700020819. Its totient is φ = 720932244480.

The previous prime is 2220165560479. The next prime is 2220165560513. The reversal of 2220165560484 is 4840655610222.

The square root of 2220165560484 is 1490022.

It is a perfect power (a square), and thus also a powerful number.

2220165560484 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 6 + 5 + 560 + 4 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1010447144100 + 1209718416384 = 1005210^2 + 1099872^2 .

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 3298908372 + ... + 3298909044.

Almost surely, 22220165560484 is an apocalyptic number.

2220165560484 is the 1490022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220165560484

2220165560484 is an abundant number, since it is smaller than the sum of its proper divisors (3759534460335).

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

2220165560484 is an frugal number, since it uses more digits than its factorization.

2220165560484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2220165560484 in words is "two trillion, two hundred twenty billion, one hundred sixty-five million, five hundred sixty thousand, four hundred eighty-four".