Search a number
-
+
222021120222 = 232111915870779
BaseRepresentation
bin1100111011000101111…
…1010111000011011110
3210020002000220111110200
43032301133113003132
512114144401321342
6245554535044330
722016614245456
oct3166137270336
9706060814420
10222021120222
1186182152810
12370425106a6
1317c23657425
14aa6299cd66
155b9687594c
hex33b17d70de

222021120222 has 48 divisors (see below), whose sum is σ = 527524807680. Its totient is φ = 66926869200.

The previous prime is 222021120169. The next prime is 222021120263.

222021120222 is nontrivially palindromic in base 10.

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 = 222021120195 and 222021120204.

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 23 ways as a sum of consecutive naturals, for example, 2897572 + ... + 2973207.

It is an arithmetic number, because the mean of its divisors is an integer number (10990100160).

Almost surely, 2222021120222 is an apocalyptic number.

222021120222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222021120222 is an abundant number, since it is smaller than the sum of its proper divisors (305503687458).

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

222021120222 is a wasteful number, since it uses less digits than its factorization.

222021120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870989 (or 5870986 counting only the distinct ones).

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

It can be divided in two parts, 222021 and 120222, that added together give a palindrome (342243).

The spelling of 222021120222 in words is "two hundred twenty-two billion, twenty-one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1146 1719 2101 3438 4202 6303 12606 18909 37818 5870779 11741558 17612337 35224674 52837011 64578569 105674022 129157138 193735707 387471414 581207121 1121318789 1162414242 2242637578 3363956367 6727912734 10091869101 12334506679 20183738202 24669013358 37003520037 74007040074 111010560111 222021120222