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2220204344442 = 2372931431136429
BaseRepresentation
bin100000010011101110011…
…111011100010001111010
321212020201212011120120220
4200103232133130101322
5242333434303010232
64415540420200510
7316255506356250
oct40235637342172
97766655146526
102220204344442
11786646521007
122ba359b39136
131314976a6a36
147965c04a5d0
153cb450d442c
hex204ee7dc47a

2220204344442 has 128 divisors (see below), whose sum is σ = 5431703961600. Its totient is φ = 591333523200.

The previous prime is 2220204344437. The next prime is 2220204344443. The reversal of 2220204344442 is 2444434020222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2220204344443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16205484 + ... + 16341912.

It is an arithmetic number, because the mean of its divisors is an integer number (42435187200).

Almost surely, 22220204344442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220204344442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715851980800).

2220204344442 is an abundant number, since it is smaller than the sum of its proper divisors (3211499617158).

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

2220204344442 is a wasteful number, since it uses less digits than its factorization.

2220204344442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136932.

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 2220204344442 its reverse (2444434020222), we get a palindrome (4664638364664).

The spelling of 2220204344442 in words is "two trillion, two hundred twenty billion, two hundred four million, three hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 431 434 609 651 862 899 1218 1293 1302 1798 2586 2697 3017 5394 6034 6293 9051 12499 12586 13361 18102 18879 24998 26722 37497 37758 40083 74994 80166 87493 93527 136429 174986 187054 262479 272858 280581 387469 409287 524958 561162 774938 818574 955003 1162407 1910006 2324814 2712283 2865009 3956441 4229299 5424566 5730018 7912882 8136849 8458598 11869323 12687897 16273698 23738646 25375794 27695087 29605093 55390174 58800899 59210186 83085261 88815279 117601798 122649671 166170522 176402697 177630558 245299342 352805394 367949013 411606293 735898026 823212586 858547697 1234818879 1705226071 1717095394 1822827869 2469637758 2575643091 3410452142 3645655738 5115678213 5151286182 5468483607 10231356426 10936967214 11936582497 12759795083 23873164994 25519590166 35809747491 38279385249 52862008201 71619494982 76558770498 105724016402 158586024603 317172049206 370034057407 740068114814 1110102172221 2220204344442