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222100000212 = 223431100339119
BaseRepresentation
bin1100111011011000110…
…0010000110111010100
3210020021112100000110210
43032312030100313110
512114330100001322
6250010433445420
722021562565336
oct3166614206724
9706245300423
10222100000212
1186212729492
1237064a10870
1317c36ab4a8c
14aa6d253456
155b9d75770c
hex33b6310dd4

222100000212 has 48 divisors (see below), whose sum is σ = 530347023360. Its totient is φ = 72303207648.

The previous prime is 222100000201. The next prime is 222100000217. The reversal of 222100000212 is 212000001222.

222100000212 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222100000217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5657989 + ... + 5697107.

It is an arithmetic number, because the mean of its divisors is an integer number (11048896320).

Almost surely, 2222100000212 is an apocalyptic number.

It is an amenable number.

222100000212 is an abundant number, since it is smaller than the sum of its proper divisors (308247023148).

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

222100000212 is a wasteful number, since it uses less digits than its factorization.

222100000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50172 (or 50170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222100000212 its reverse (212000001222), we get a palindrome (434100001434).

The spelling of 222100000212 in words is "two hundred twenty-two billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 11003 22006 33009 39119 44012 66018 78238 117357 132036 156476 234714 469428 473129 946258 1419387 1682117 1892516 2838774 3364234 5046351 5677548 6728468 10092702 20185404 430426357 860852714 1291279071 1721705428 2582558142 5165116284 18508333351 37016666702 55525000053 74033333404 111050000106 222100000212