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222013120212 = 223313739213977
BaseRepresentation
bin1100111011000100000…
…0110101111011010100
3210020001110212001112000
43032301000311323110
512114140324321322
6245554051355300
722016456246022
oct3166100657324
9706043761460
10222013120212
1186178689234
123703b8b2b30
1317c21ab5cb0
14aa618b9712
155b95ce53ac
hex33b1035ed4

222013120212 has 96 divisors (see below), whose sum is σ = 620707382400. Its totient is φ = 68218972416.

The previous prime is 222013120183. The next prime is 222013120213. The reversal of 222013120212 is 212021310222.

222013120212 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (222013120213) 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 31 ways as a sum of consecutive naturals, for example, 930568 + ... + 1144544.

It is an arithmetic number, because the mean of its divisors is an integer number (6465701900).

Almost surely, 2222013120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222013120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310353691200).

222013120212 is an abundant number, since it is smaller than the sum of its proper divisors (398694262188).

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

222013120212 is a wasteful number, since it uses less digits than its factorization.

222013120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214742 (or 214734 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222013120212 its reverse (212021310222), we get a palindrome (434034430434).

It can be divided in two parts, 222013 and 120212, that added together give a square (342225 = 5852).

The spelling of 222013120212 in words is "two hundred twenty-two billion, thirteen million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 739 1404 1478 2217 2956 4434 6651 8868 9607 13302 19214 19953 26604 28821 38428 39906 57642 79812 86463 115284 172926 213977 259389 345852 427954 518778 641931 855908 1037556 1283862 1925793 2567724 2781701 3851586 5563402 5777379 7703172 8345103 11126804 11554758 16690206 23109516 25035309 33380412 50070618 75105927 100141236 150211854 158129003 300423708 316258006 474387009 632516012 948774018 1423161027 1897548036 2055677039 2846322054 4111354078 4269483081 5692644108 6167031117 8222708156 8538966162 12334062234 17077932324 18501093351 24668124468 37002186702 55503280053 74004373404 111006560106 222013120212