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2112213402 = 2331311326627
BaseRepresentation
bin111110111100101…
…1101000110011010
312110012111120002000
41331321131012122
513311211312102
6545332021430
7103225342365
oct17571350632
95405446060
102112213402
11994320212
124ab461876
132787a6020
141607490dc
15c567b01c
hex7de5d19a

2112213402 has 64 divisors (see below), whose sum is σ = 5099794560. Its totient is φ = 644136192.

The previous prime is 2112213401. The next prime is 2112213431. The reversal of 2112213402 is 2043122112.

It is a happy number.

It is a super-2 number, since 2×21122134022 = 8922890911176827208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2112213401) 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, 66013 + ... + 92639.

It is an arithmetic number, because the mean of its divisors is an integer number (79684290).

Almost surely, 22112213402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112213402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549897280).

2112213402 is an abundant number, since it is smaller than the sum of its proper divisors (2987581158).

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

2112213402 is a wasteful number, since it uses less digits than its factorization.

2112213402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26764 (or 26758 counting only the distinct ones).

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

The square root of 2112213402 is about 45958.8228961535. The cubic root of 2112213402 is about 1283.0569435632.

Adding to 2112213402 its reverse (2043122112), we get a palindrome (4155335514).

The spelling of 2112213402 in words is "two billion, one hundred twelve million, two hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 226 234 339 351 678 702 1017 1469 2034 2938 3051 4407 6102 8814 13221 26442 26627 39663 53254 79326 79881 159762 239643 346151 479286 692302 718929 1038453 1437858 2076906 3008851 3115359 6017702 6230718 9026553 9346077 18053106 18692154 27079659 39115063 54159318 78230126 81238977 117345189 162477954 234690378 352035567 704071134 1056106701 2112213402