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221022221022 = 23310140939901
BaseRepresentation
bin1100110111010111110…
…0110111001011011110
3210010111102022011101000
43031311330313023132
512110123142033042
6245311453131130
721653064611061
oct3156574671336
9703442264330
10221022221022
118580a310a89
1236a03a89aa6
1317ac4714305
14a9aa05a8d8
155b38d1074c
hex3375f372de

221022221022 has 64 divisors (see below), whose sum is σ = 496194765120. Its totient is φ = 72919440000.

The previous prime is 221022220831. The next prime is 221022221027. The reversal of 221022221022 is 220122220122.

221022221022 is a `hidden beast` number, since 2 + 210 + 222 + 210 + 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 = 221022220986 and 221022221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022221027) 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, 22318272 + ... + 22328172.

It is an arithmetic number, because the mean of its divisors is an integer number (7753043205).

Almost surely, 2221022221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248097382560).

221022221022 is an abundant number, since it is smaller than the sum of its proper divisors (275172544098).

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

221022221022 is a wasteful number, since it uses less digits than its factorization.

221022221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 14100 counting only the distinct ones).

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

Adding to 221022221022 its reverse (220122220122), we get a palindrome (441144441144).

The spelling of 221022221022 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 4093 5454 8186 9901 12279 19802 24558 29703 36837 59406 73674 89109 110511 178218 221022 267327 413393 534654 826786 1000001 1240179 2000002 2480358 3000003 3720537 6000006 7441074 9000009 11161611 18000018 22323222 27000027 40524793 54000054 81049586 121574379 243148758 364723137 729446274 1094169411 2188338822 4093004093 8186008186 12279012279 24558024558 36837036837 73674073674 110511110511 221022221022