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220022000202000 = 243533728113012711
BaseRepresentation
bin110010000001101111011101…
…001010100011000100010000
31001212000220020111100121210110
4302001233131022203010100
5212314320024022431000
62055540413404201320
764226031163066143
oct6201573512430420
91055026214317713
10220022000202000
1164118896174807
12208158a2839240
13959cca7465809
143c4919ba7605a
151a68425593850
hexc81bdd2a3110

220022000202000 has 640 divisors, whose sum is σ = 731947038391296. Its totient is φ = 56818944000000.

The previous prime is 220022000201897. The next prime is 220022000202041. The reversal of 220022000202000 is 202000220022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81158980645 + ... + 81158983355.

Almost surely, 2220022000202000 is an apocalyptic number.

220022000202000 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 220022000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365973519195648).

220022000202000 is an abundant number, since it is smaller than the sum of its proper divisors (511925038189296).

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

220022000202000 is a wasteful number, since it uses less digits than its factorization.

220022000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4340 counting only the distinct ones).

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

Adding to 220022000202000 its reverse (202000220022), we get a palindrome (220224000422022).

The spelling of 220022000202000 in words is "two hundred twenty trillion, twenty-two billion, two hundred two thousand".