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2220442204002 = 2311193907453209
BaseRepresentation
bin100000010011111100101…
…010110011011101100010
321212021100102202002120020
4200103330222303131202
5242334431201012002
64420020154254310
7316264425215331
oct40237452633542
97767312662506
102220442204002
11786758812460
122ba405727396
13131504a58539
1479681885d18
153cb5ae1b2bc
hex204fcab3762

2220442204002 has 64 divisors (see below), whose sum is σ = 5100896678400. Its totient is φ = 637282961280.

The previous prime is 2220442203997. The next prime is 2220442204081. The reversal of 2220442204002 is 2004022440222.

2220442204002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4672774 + ... + 5125982.

It is an arithmetic number, because the mean of its divisors is an integer number (79701510600).

Almost surely, 22220442204002 is an apocalyptic number.

2220442204002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2220442204002 is an abundant number, since it is smaller than the sum of its proper divisors (2880454474398).

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

2220442204002 is a wasteful number, since it uses less digits than its factorization.

2220442204002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457151.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2220442204002 its reverse (2004022440222), we get a palindrome (4224464644224).

The spelling of 2220442204002 in words is "two trillion, two hundred twenty billion, four hundred forty-two million, two hundred four thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 3907 7814 11721 23442 42977 74233 85954 128931 148466 222699 257862 445398 453209 816563 906418 1359627 1633126 2449689 2719254 4899378 4985299 8610971 9970598 14955897 17221942 25832913 29911794 51665826 94720681 189441362 284162043 568324086 1770687563 3541375126 5312062689 10624125378 19477563193 33643063697 38955126386 58432689579 67286127394 100929191091 116865379158 201858382182 370073700667 740147401334 1110221102001 2220442204002