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222021013220010 = 23651031677432383
BaseRepresentation
bin110010011110110101001011…
…101000000010101010101010
31002010010000001011000121000000
4302132311023220002222222
5213100043013341020020
62104111013450523430
764523326452302544
oct6236651350025252
91063100034017000
10222021013220010
11648196459833a4
1220a991b0136576
1396b665139a174
143cb7c35406694
151aa0421ab2090
hexc9ed4ba02aaa

222021013220010 has 448 divisors, whose sum is σ = 609697584857088. Its totient is φ = 58176847354752.

The previous prime is 222021013220003. The next prime is 222021013220021. The reversal of 222021013220010 is 10022310120222.

222021013220010 is a `hidden beast` number, since 2 + 220 + 210 + 1 + 3 + 220 + 0 + 10 = 666.

It is a super-2 number, since 2×2220210132200102 (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 93168699279 + ... + 93168701661.

It is an arithmetic number, because the mean of its divisors is an integer number (1360932109056).

Almost surely, 2222021013220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222021013220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304848792428544).

222021013220010 is an abundant number, since it is smaller than the sum of its proper divisors (387676571637078).

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

222021013220010 is a wasteful number, since it uses less digits than its factorization.

222021013220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222021013220010 its reverse (10022310120222), we get a palindrome (232043323340232).

The spelling of 222021013220010 in words is "two hundred twenty-two trillion, twenty-one billion, thirteen million, two hundred twenty thousand, ten".