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32212200020 = 2257111310191579
BaseRepresentation
bin11101111111111111…
…110010101001010100
310002010220221022022012
4131333333302221110
51011432310400040
622444215123352
72220151116410
oct357777625124
9102126838265
1032212200020
111272aa46710
1262ab973558
1330647a87b0
1417b817dd40
15c87e55865
hex77fff2a54

32212200020 has 192 divisors, whose sum is σ = 90971596800. Its totient is φ = 9252887040.

The previous prime is 32212199989. The next prime is 32212200047. The reversal of 32212200020 is 2000221223.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 32212199968 and 32212200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20399591 + ... + 20401169.

It is an arithmetic number, because the mean of its divisors is an integer number (473810400).

Almost surely, 232212200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32212200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45485798400).

32212200020 is an abundant number, since it is smaller than the sum of its proper divisors (58759396780).

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

32212200020 is a wasteful number, since it uses less digits than its factorization.

32212200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32212200020 its reverse (2000221223), we get a palindrome (34212421243).

It can be divided in two parts, 32212 and 200020, that added together give a palindrome (232232).

The spelling of 32212200020 in words is "thirty-two billion, two hundred twelve million, two hundred thousand, twenty".