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222122002122 = 232257182326339
BaseRepresentation
bin1100111011011110000…
…0001100011011001010
3210020100001201211102100
43032313200030123022
512114401213031442
6250012541214230
722022250603006
oct3166740143312
9706301654370
10222122002122
1186224096889
1237070261376
1317c3b519467
14aa7213d706
155ba065184c
hex33b780c6ca

222122002122 has 48 divisors (see below), whose sum is σ = 483420337920. Its totient is φ = 73709316096.

The previous prime is 222122002093. The next prime is 222122002133. The reversal of 222122002122 is 221200221222.

222122002122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 222122002095 and 222122002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8420029 + ... + 8446367.

It is an arithmetic number, because the mean of its divisors is an integer number (10071257040).

Almost surely, 2222122002122 is an apocalyptic number.

222122002122 is an abundant number, since it is smaller than the sum of its proper divisors (261298335798).

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

222122002122 is a wasteful number, since it uses less digits than its factorization.

222122002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28427 (or 28424 counting only the distinct ones).

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

Adding to 222122002122 its reverse (221200221222), we get a palindrome (443322223344).

The spelling of 222122002122 in words is "two hundred twenty-two billion, one hundred twenty-two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 257 514 771 1542 1823 2313 3646 4626 5469 10938 16407 26339 32814 52678 79017 158034 237051 468511 474102 937022 1405533 2811066 4216599 6769123 8433198 13538246 20307369 40614738 48015997 60922107 96031994 121844214 144047991 288095982 432143973 864287946 12340111229 24680222458 37020333687 74040667374 111061001061 222122002122