Search a number
-
+
22012010000 = 24542201201
BaseRepresentation
bin10100100000000001…
…001001111000010000
32002211001110222002122
4110200001021320100
5330040033310000
614040121433412
71406322666161
oct244001117020
962731428078
1022012010000
119376229a02
12432393b868
1320ca4986b6
1410cb5c9768
1588c702085
hex520049e10

22012010000 has 50 divisors (see below), whose sum is σ = 53293301622. Its totient is φ = 8804800000.

The previous prime is 22012009991. The next prime is 22012010011. The reversal of 22012010000 is 1021022.

It can be written as a sum of positive squares in 5 ways, for example, as 11186023696 + 10825986304 = 105764^2 + 104048^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22012010000.

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, 1090601 + ... + 1110600.

Almost surely, 222012010000 is an apocalyptic number.

22012010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012010000 is an abundant number, since it is smaller than the sum of its proper divisors (31281291622).

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

22012010000 is an equidigital number, since it uses as much as digits as its factorization.

22012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201229 (or 2201208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22012010000 its reverse (1021022), we get a palindrome (22013031022).

The spelling of 22012010000 in words is "twenty-two billion, twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2201201 4402402 8804804 11006005 17609608 22012010 35219216 44024020 55030025 88048040 110060050 176096080 220120100 275150125 440240200 550300250 880480400 1100600500 1375750625 2201201000 2751501250 4402402000 5503002500 11006005000 22012010000