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22220021000 = 235361736013
BaseRepresentation
bin10100101100011010…
…101001110100001000
32010100112220000112202
4110230122221310020
5331001311133000
614112512055332
71414430030222
oct245432516410
963315800482
1022220021000
119472693721
124381534548
1321315c9128
14110b095412
158a0adedd5
hex52c6a9d08

22220021000 has 64 divisors (see below), whose sum is σ = 52080565680. Its totient is φ = 8873356800.

The previous prime is 22220020993. The next prime is 22220021027. The reversal of 22220021000 is 12002222.

It can be written as a sum of positive squares in 8 ways, for example, as 551592196 + 21668428804 = 23486^2 + 147202^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598994 + ... + 635006.

Almost surely, 222220021000 is an apocalyptic number.

22220021000 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 22220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040282840).

22220021000 is an abundant number, since it is smaller than the sum of its proper divisors (29860544680).

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

22220021000 is a wasteful number, since it uses less digits than its factorization.

22220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36651 (or 36637 counting only the distinct ones).

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

Adding to 22220021000 its reverse (12002222), we get a palindrome (22232023222).

The spelling of 22220021000 in words is "twenty-two billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 617 1000 1234 2468 3085 4936 6170 12340 15425 24680 30850 36013 61700 72026 77125 123400 144052 154250 180065 288104 308500 360130 617000 720260 900325 1440520 1800650 3601300 4501625 7202600 9003250 18006500 22220021 36013000 44440042 88880084 111100105 177760168 222200210 444400420 555500525 888800840 1111001050 2222002100 2777502625 4444004200 5555005250 11110010500 22220021000