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2220124114404 = 223572416771239
BaseRepresentation
bin100000010011101001101…
…101011000110111100100
321212020112021012110200000
4200103221231120313210
5242333303233130104
64415524432421300
7316253513414400
oct40235155306744
97766467173600
102220124114404
11786605202a99
122ba3370a7830
13131483b95a41
1479651524100
153cb3d037639
hex204e9b58de4

2220124114404 has 864 divisors, whose sum is σ = 7167640596480. Its totient is φ = 598512499200.

The previous prime is 2220124114399. The next prime is 2220124114421. The reversal of 2220124114404 is 4044114210222.

2220124114404 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 241 + 14 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9289222117 + ... + 9289222355.

It is an arithmetic number, because the mean of its divisors is an integer number (8295880320).

Almost surely, 22220124114404 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 2220124114404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583820298240).

2220124114404 is an abundant number, since it is smaller than the sum of its proper divisors (4947516482076).

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

2220124114404 is a wasteful number, since it uses less digits than its factorization.

2220124114404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2220124114404 its reverse (4044114210222), we get a palindrome (6264238324626).

The spelling of 2220124114404 in words is "two trillion, two hundred twenty billion, one hundred twenty-four million, one hundred fourteen thousand, four hundred four".