Search a number
-
+
22000022000022 = 23111952579333667
BaseRepresentation
bin1010000000010010001110…
…11111110001000110010110
32212220011220100201001222110
411000021013133301012112
510340422021113000042
6114442400502411450
74430310024355653
oct500110737610626
985804810631873
1022000022000022
11701217a974860
122573902a30b86
13c3779327b971
14560b419d6c2a
1528240ec5c09c
hex1402477f1196

22000022000022 has 64 divisors (see below), whose sum is σ = 50527478707200. Its totient is φ = 6315656741280.

The previous prime is 22000022000017. The next prime is 22000022000039.

22000022000022 is nontrivially palindromic in base 10.

22000022000022 is a modest number, since divided by 22000022 gives 22 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22000021999971 and 22000022000007.

It is a congruent number.

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, 65767233 + ... + 66100899.

It is an arithmetic number, because the mean of its divisors is an integer number (789491854800).

Almost surely, 222000022000022 is an apocalyptic number.

22000022000022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22000022000022 is an abundant number, since it is smaller than the sum of its proper divisors (28527456707178).

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

22000022000022 is a wasteful number, since it uses less digits than its factorization.

22000022000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386281.

The product of its (nonzero) digits is 64, while the sum is 12.

It can be divided in two parts, 2200002 and 2000022, that added together give a palindrome (4200024).

The spelling of 22000022000022 in words is "twenty-two trillion, twenty-two million, twenty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 52579 105158 157737 315474 333667 578369 667334 999001 1001001 1156738 1735107 1998002 2002002 2997003 3470214 3670337 5994006 6339673 7340674 10989011 11011011 12679346 19019019 21978022 22022022 32967033 38038038 65934066 69736403 139472806 209209209 418418418 17543877193 35087754386 52631631579 105263263158 192982649123 333333666667 385965298246 578947947369 666667333334 1000001000001 1157895894738 2000002000002 3666670333337 7333340666674 11000011000011 22000022000022