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22122202221 = 337176885217
BaseRepresentation
bin10100100110100101…
…100000010001101101
32010002201211022102000
4110212211200101231
5330301240432341
614055055322513
71412131421250
oct244645402155
963081738360
1022122202221
119422451a59
124354820439
13211726a3b2
1410dc0b1097
1589721b8b6
hex52696046d

22122202221 has 32 divisors (see below), whose sum is σ = 39658855680. Its totient is φ = 11897653248.

The previous prime is 22122202199. The next prime is 22122202243. The reversal of 22122202221 is 12220222122.

22122202221 is a `hidden beast` number, since 221 + 2 + 220 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (22122202199) and next prime (22122202243).

It is not a de Polignac number, because 22122202221 - 27 = 22122202093 is a prime.

It is a super-2 number, since 2×221222022212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22122202194 and 22122202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122202261) 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, 3439396 + ... + 3445821.

It is an arithmetic number, because the mean of its divisors is an integer number (1239339240).

Almost surely, 222122202221 is an apocalyptic number.

22122202221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22122202221 is a deficient number, since it is larger than the sum of its proper divisors (17536653459).

22122202221 is a wasteful number, since it uses less digits than its factorization.

22122202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885250 (or 6885244 counting only the distinct ones).

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

Adding to 22122202221 its reverse (12220222122), we get a palindrome (34342424343).

It can be divided in two parts, 22 and 122202221, that multiplied together give a palindrome (2688448862).

The spelling of 22122202221 in words is "twenty-two billion, one hundred twenty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 6885217 20655651 48196519 61966953 117048689 144589557 185900859 351146067 433768671 819340823 1053438201 1301306013 2458022469 3160314603 7374067407 22122202221