Search a number
-
+
22122220120002 = 234136556914321
BaseRepresentation
bin1010000011110101110110…
…00100100110011111000010
32220022212022120000202020000
411001322323010212133002
510344422301322320002
6115014450240300430
74442164144300302
oct501727304463702
986285276022200
1022122220120002
117059a87594a62
122593526911716
13c46168989a32
14566a14c4b602
152856b2bac61c
hex141ebb1267c2

22122220120002 has 20 divisors (see below), whose sum is σ = 49570159898886. Its totient is φ = 7374073373280.

The previous prime is 22122220119931. The next prime is 22122220120067. The reversal of 22122220120002 is 20002102222122.

22122220120002 is a `hidden beast` number, since 221 + 22 + 220 + 1 + 200 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21862740929121 + 259479190881 = 4675761^2 + 509391^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 68278456999 + ... + 68278457322.

Almost surely, 222122220120002 is an apocalyptic number.

22122220120002 is an abundant number, since it is smaller than the sum of its proper divisors (27447939778884).

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

22122220120002 is a wasteful number, since it uses less digits than its factorization.

22122220120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136556914335 (or 136556914326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22122220120002 its reverse (20002102222122), we get a palindrome (42124322342124).

The spelling of 22122220120002 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 136556914321 273113828642 409670742963 819341485926 1229012228889 2458024457778 3687036686667 7374073373334 11061110060001 22122220120002