Search a number
-
+
22022021000 = 2353721726437
BaseRepresentation
bin10100100000100111…
…010101111110001000
32002211202022120121102
4110200213111332020
5330100114133000
614041120200532
71406504042600
oct244047257610
962752276542
1022022021000
119380947361
124327169148
1320cc592275
1410cca73c00
1588d52d3d5
hex5209d5f88

22022021000 has 192 divisors, whose sum is σ = 63473407920. Its totient is φ = 7105996800.

The previous prime is 22022020967. The next prime is 22022021011. The reversal of 22022021000 is 12022022.

It can be written as a sum of positive squares in 8 ways, for example, as 5240891236 + 16781129764 = 72394^2 + 129542^2 .

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, 819782 + ... + 846218.

Almost surely, 222022021000 is an apocalyptic number.

22022021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736703960).

22022021000 is an abundant number, since it is smaller than the sum of its proper divisors (41451386920).

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

22022021000 is a wasteful number, since it uses less digits than its factorization.

22022021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26489 (or 26468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22022021000 its reverse (12022022), we get a palindrome (22034043022).

It can be divided in two parts, 2202 and 2021000, that added together give a palindrome (2023202).

The spelling of 22022021000 in words is "twenty-two billion, twenty-two million, twenty-one thousand".