Search a number
-
+
2202422217952 = 251124113873351
BaseRepresentation
bin100000000011001010100…
…110000000110011100000
321210112211120221221211111
4200003022212000303200
5242041030041433302
64403440115353104
7315056034653005
oct40031246006340
97715746857744
102202422217952
1177a050a1a200
122b6a168b2794
1312c8c264acb8
14788525358ac
153c453e160d7
hex200ca980ce0

2202422217952 has 72 divisors (see below), whose sum is σ = 4882282289136. Its totient is φ = 976683840000.

The previous prime is 2202422217929. The next prime is 2202422217953. The reversal of 2202422217952 is 2597122242022.

It is a super-2 number, since 2×22024222179522 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202422217953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6777924 + ... + 7095427.

It is an arithmetic number, because the mean of its divisors is an integer number (67809476238).

Almost surely, 22202422217952 is an apocalyptic number.

2202422217952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2202422217952 is an abundant number, since it is smaller than the sum of its proper divisors (2679860071184).

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

2202422217952 is a wasteful number, since it uses less digits than its factorization.

2202422217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873424 (or 13873405 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

Adding to 2202422217952 its reverse (2597122242022), we get a palindrome (4799544459974).

The spelling of 2202422217952 in words is "two trillion, two hundred two billion, four hundred twenty-two million, two hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 164 176 242 328 352 451 484 656 902 968 1312 1804 1936 3608 3872 4961 7216 9922 14432 19844 39688 79376 158752 13873351 27746702 55493404 110986808 152606861 221973616 305213722 443947232 568807391 610427444 1137614782 1220854888 1678675471 2275229564 2441709776 3357350942 4550459128 4883419552 6256881301 6714701884 9100918256 12513762602 13429403768 18201836512 25027525204 26858807536 50055050408 53717615072 68825694311 100110100816 137651388622 200220201632 275302777244 550605554488 1101211108976 2202422217952