Search a number
-
+
222100222122 = 232372087159791
BaseRepresentation
bin1100111011011000110…
…1000111000010101010
3210020021112202021212200
43032312031013002222
512114330124101442
6250010442321030
722021564511322
oct3166615070252
9706245667780
10222100222122
1186212870189
1237064ab9176
1317c36b61a9c
14aa6d2b0282
155b9d79d34c
hex33b63470aa

222100222122 has 48 divisors (see below), whose sum is σ = 494462921472. Its totient is φ = 71997539040.

The previous prime is 222100222117. The next prime is 222100222151. The reversal of 222100222122 is 221222001222.

222100222122 is a `hidden beast` number, since 222 + 100 + 222 + 122 = 666.

222100222122 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 = 222100222095 and 222100222104.

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, 1310047 + ... + 1469837.

It is an arithmetic number, because the mean of its divisors is an integer number (10301310864).

Almost surely, 2222100222122 is an apocalyptic number.

222100222122 is an abundant number, since it is smaller than the sum of its proper divisors (272362699350).

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

222100222122 is a wasteful number, since it uses less digits than its factorization.

222100222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161923 (or 161920 counting only the distinct ones).

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

Adding to 222100222122 its reverse (221222001222), we get a palindrome (443322223344).

The spelling of 222100222122 in words is "two hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2087 4174 6261 12522 18783 37566 77219 154438 159791 231657 319582 463314 479373 694971 958746 1389942 1438119 2876238 5912267 11824534 17736801 35473602 53210403 106420806 333483817 666967634 1000451451 2000902902 3001354353 6002708706 12338901229 24677802458 37016703687 74033407374 111050111061 222100222122