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220221021110022 = 23311346637739647
BaseRepresentation
bin110010000100101000110011…
…101111000011111100000110
31001212201220221121022021121000
4302010220303233003330012
5212331100122401010042
62100212050201034130
764246305124642452
oct6204506357037406
91055656847267530
10220221021110022
11641952352a2689
1220848386485946
1395b59a398830a
143c54a7bacd662
151a6d6c2ab674c
hexc84a33bc3f06

220221021110022 has 64 divisors (see below), whose sum is σ = 493816785960960. Its totient is φ = 72741774978432.

The previous prime is 220221021110017. The next prime is 220221021110053. The reversal of 220221021110022 is 220011120122022.

It is a happy number.

220221021110022 is a `hidden beast` number, since 220 + 2 + 210 + 211 + 1 + 0 + 0 + 22 = 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 = 220221021109977 and 220221021110004.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24583803 + ... + 32323449.

It is an arithmetic number, because the mean of its divisors is an integer number (7715887280640).

Almost surely, 2220221021110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221021110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246908392980480).

220221021110022 is an abundant number, since it is smaller than the sum of its proper divisors (273595764850938).

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

220221021110022 is a wasteful number, since it uses less digits than its factorization.

220221021110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744434 (or 7744428 counting only the distinct ones).

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

Adding to 220221021110022 its reverse (220011120122022), we get a palindrome (440232141232044).

The spelling of 220221021110022 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 4663 6102 9326 13989 27978 41967 83934 125901 251802 526919 1053838 1580757 3161514 4742271 7739647 9484542 14226813 15479294 23218941 28453626 46437882 69656823 139313646 208970469 417940938 874580111 1749160222 2623740333 5247480666 7871220999 15742441998 23613662997 36089973961 47227325994 72179947922 108269921883 216539843766 324809765649 649619531298 974429296947 1948858593894 4078167057593 8156334115186 12234501172779 24469002345558 36703503518337 73407007036674 110110510555011 220221021110022