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222020200122102 = 232371134783616793
BaseRepresentation
bin110010011110110100011011…
…001010010100011011110110
31002010002220221111000221100200
4302132310123022110123312
5213100034332212401402
62104110401043221330
764523300350134654
oct6236643312243366
91063086844027320
10222020200122102
1164819268a06958
1220a99003977846
1396b6551aac645
143cb7b9942bdd4
151aa03c54ee21c
hexc9ed1b2946f6

222020200122102 has 96 divisors (see below), whose sum is σ = 498522043214208. Its totient is φ = 71354288130048.

The previous prime is 222020200122023. The next prime is 222020200122109. The reversal of 222020200122102 is 201221002020222.

222020200122102 is a `hidden beast` number, since 2 + 220 + 20 + 200 + 1 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222020200122109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359650618 + ... + 360267410.

It is an arithmetic number, because the mean of its divisors is an integer number (5192937950148).

Almost surely, 2222020200122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222020200122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249261021607104).

222020200122102 is an abundant number, since it is smaller than the sum of its proper divisors (276501843092106).

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

222020200122102 is a wasteful number, since it uses less digits than its factorization.

222020200122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621734 (or 621731 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222020200122102 its reverse (201221002020222), we get a palindrome (423241202142324).

The spelling of 222020200122102 in words is "two hundred twenty-two trillion, twenty billion, two hundred million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 666 678 1017 2034 4181 4783 8362 9566 12543 14349 25086 28698 37629 43047 75258 86094 176971 353942 530913 540479 616793 1061826 1080958 1233586 1592739 1621437 1850379 3185478 3242874 3700758 4864311 5551137 9728622 11102274 19997723 22821341 39995446 45642682 59993169 68464023 69697609 119986338 136928046 139395218 179979507 205392069 209092827 359959014 410784138 418185654 627278481 1254556962 2578811533 2950120919 5157623066 5900241838 7736434599 8850362757 15472869198 17700725514 23209303797 26551088271 46418607594 53102176542 109154474003 218308948006 327463422009 333363663847 654926844018 666727327694 982390266027 1000090991541 1964780532054 2000181983082 3000272974623 6000545949246 12334455562339 24668911124678 37003366687017 74006733374034 111010100061051 222020200122102