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23222320331322 = 2373123511163871
BaseRepresentation
bin1010100011110110111100…
…01001110111101000111010
310001020000212102122210001010
411101323132021313220322
511020433303001100242
6121220104153534350
74614520513640160
oct521733611675072
9101200772583033
1023222320331322
117443592471222
1227307841143b6
13cc5b17450a38
145a3d7575d230
152a40ec35589c
hex151ede277a3a

23222320331322 has 96 divisors (see below), whose sum is σ = 54863024136192. Its totient is φ = 6419050092000.

The previous prime is 23222320331279. The next prime is 23222320331333. The reversal of 23222320331322 is 22313302322232.

It is a super-2 number, since 2×232223203313222 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23222320331322.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141629047 + ... + 141792917.

It is an arithmetic number, because the mean of its divisors is an integer number (571489834752).

Almost surely, 223222320331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23222320331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27431512068096).

23222320331322 is an abundant number, since it is smaller than the sum of its proper divisors (31640703804870).

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

23222320331322 is a wasteful number, since it uses less digits than its factorization.

23222320331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167456 (or 167425 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23222320331322 its reverse (22313302322232), we get a palindrome (45535622653554).

The spelling of 23222320331322 in words is "twenty-three trillion, two hundred twenty-two billion, three hundred twenty million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 961 1302 1922 2883 3511 5766 6727 7022 10533 13454 20181 21066 24577 40362 49154 73731 108841 147462 163871 217682 326523 327742 491613 653046 761887 983226 1147097 1523774 2285661 2294194 3374071 3441291 4571322 5080001 6748142 6882582 10122213 10160002 15240003 20244426 23618497 30480006 35560007 47236994 70855491 71120014 106680021 141710982 157480031 213360042 314960062 472440093 575351081 944880186 1102360217 1150702162 1726053243 2204720434 3307080651 3452106486 4027457567 6614161302 8054915134 12082372701 17835883511 24164745402 35671767022 53507650533 107015301066 124851184577 249702369154 374553553731 552912388841 749107107462 1105824777682 1658737166523 3317474333046 3870386721887 7740773443774 11611160165661 23222320331322