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221002202200104 = 233513359103323581
BaseRepresentation
bin110010010000000000010101…
…110000011011100000101000
31001222111121022110100100100000
4302100000111300123200220
5212431400002230400404
62102011002102543000
764356611410440063
oct6220002560334050
91058447273310300
10221002202200104
1164466564698866
122095385a437a60
139641558b60320
143c807c69798da
151a83b93b90339
hexc90015c1b828

221002202200104 has 384 divisors, whose sum is σ = 671002831699200. Its totient is φ = 67742742804480.

The previous prime is 221002202200079. The next prime is 221002202200133. The reversal of 221002202200104 is 401002202200122.

221002202200104 is a `hidden beast` number, since 2 + 210 + 0 + 220 + 220 + 0 + 10 + 4 = 666.

It is a super-2 number, since 2×2210022022001042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9372033594 + ... + 9372057174.

It is an arithmetic number, because the mean of its divisors is an integer number (1747403207550).

Almost surely, 2221002202200104 is an apocalyptic number.

221002202200104 is a gapful number since it is divisible by the number (24) 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 221002202200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335501415849600).

221002202200104 is an abundant number, since it is smaller than the sum of its proper divisors (450000629499096).

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

221002202200104 is a wasteful number, since it uses less digits than its factorization.

221002202200104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25007 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221002202200104 its sum of digits (18), we get a palindrome (221002202200122).

Adding to 221002202200104 its reverse (401002202200122), we get a palindrome (622004404400226).

The spelling of 221002202200104 in words is "two hundred twenty-one trillion, two billion, two hundred two million, two hundred thousand, one hundred four".