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221000201210022 = 23137193774255747
BaseRepresentation
bin110010001111111110011110…
…011111010000100010100110
31001222111102011000010111222020
4302033332132133100202212
5212431331403002210042
62102010031342444010
764356511002342543
oct6217763637204246
91058442130114866
10221000201210022
1164465728135353
12209533a0293606
1396412ca42a420
143c80676d03bca
151a83ac81843ec
hexc8ff9e7d08a6

221000201210022 has 64 divisors (see below), whose sum is σ = 482756255783424. Its totient is φ = 67035149153280.

The previous prime is 221000201209771. The next prime is 221000201210023. The reversal of 221000201210022 is 220012102000122.

It is a junction number, because it is equal to n+sod(n) for n = 221000201209983 and 221000201210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000201210023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49801953 + ... + 54057699.

It is an arithmetic number, because the mean of its divisors is an integer number (7543066496616).

Almost surely, 2221000201210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221000201210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241378127891712).

221000201210022 is an abundant number, since it is smaller than the sum of its proper divisors (261756054573402).

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

221000201210022 is a wasteful number, since it uses less digits than its factorization.

221000201210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265213.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221000201210022 its reverse (220012102000122), we get a palindrome (441012303210144).

The spelling of 221000201210022 in words is "two hundred twenty-one trillion, two hundred one million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1846 2769 5538 9377 18754 28131 56262 121901 243802 365703 665767 731406 1331534 1997301 3994602 4255747 8511494 8654971 12767241 17309942 25534482 25964913 51929826 55324711 110649422 165974133 302158037 331948266 604316074 906474111 1812948222 3928054481 7856108962 11784163443 23568326886 39906139619 79812279238 119718418857 239436837714 518779815047 1037559630094 1556339445141 2833335912949 3112678890282 5666671825898 8500007738847 17000015477694 36833366868337 73666733736674 110500100605011 221000201210022