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222102001211220 = 22335131718120115113
BaseRepresentation
bin110010100000000000100110…
…111000101101011101010100
31002010101202002100012211011000
4302200000212320231131110
5213102404344302224340
62104212130100343300
764532224432001154
oct6240004670553524
91063352070184130
10222102001211220
116484aa25550939
1220ab0a329a4b30
1396c118a0c6160
143cbbb19484764
151aa25b1b8dd30
hexca0026e2d754

222102001211220 has 768 divisors, whose sum is σ = 792811444239360. Its totient is φ = 51135573196800.

The previous prime is 222102001211213. The next prime is 222102001211243. The reversal of 222102001211220 is 22112100201222.

It is a happy number.

222102001211220 is a `hidden beast` number, since 2 + 2 + 210 + 20 + 0 + 1 + 211 + 220 = 666.

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 = 222102001211193 and 222102001211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43438683384 + ... + 43438688496.

It is an arithmetic number, because the mean of its divisors is an integer number (1032306568020).

Almost surely, 2222102001211220 is an apocalyptic number.

222102001211220 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 222102001211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396405722119680).

222102001211220 is an abundant number, since it is smaller than the sum of its proper divisors (570709443028140).

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

222102001211220 is a wasteful number, since it uses less digits than its factorization.

222102001211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7345 counting only the distinct ones).

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

Adding to 222102001211220 its reverse (22112100201222), we get a palindrome (244214101412442).

The spelling of 222102001211220 in words is "two hundred twenty-two trillion, one hundred two billion, one million, two hundred eleven thousand, two hundred twenty".