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221222001112020 = 223251229011117289
BaseRepresentation
bin110010010011001101000010…
…110010101111001111010100
31002000021121122121202222002100
4302103031002302233033110
5212444000124241041040
62102255552340242100
764411522262402256
oct6223150262571724
91060247577688070
10221222001112020
11645407a6422587
122098a3806a0330
1396591b6cab79c
143c8b2b8359cd6
151a8975a3adb30
hexc93342caf3d4

221222001112020 has 36 divisors (see below), whose sum is σ = 671040070040340. Its totient is φ = 58992533629824.

The previous prime is 221222001112003. The next prime is 221222001112081. The reversal of 221222001112020 is 20211100222122.

It is a happy number.

221222001112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60968580664644 + 160253420447376 = 7808238^2 + 12659124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 221222001111984 and 221222001112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614505558465 + ... + 614505558824.

It is an arithmetic number, because the mean of its divisors is an integer number (18640001945565).

Almost surely, 2221222001112020 is an apocalyptic number.

221222001112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222001112020 is an abundant number, since it is smaller than the sum of its proper divisors (449818068928320).

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

221222001112020 is a wasteful number, since it uses less digits than its factorization.

221222001112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229011117304 (or 1229011117299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221222001112020 its reverse (20211100222122), we get a palindrome (241433101334142).

The spelling of 221222001112020 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1229011117289 2458022234578 3687033351867 4916044469156 6145055586445 7374066703734 11061100055601 12290111172890 14748133407468 18435166759335 22122200111202 24580222345780 36870333518670 44244400222404 55305500278005 73740667037340 110611000556010 221222001112020