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2212341102 = 232314319199
BaseRepresentation
bin1000001111011101…
…1010010101101110
312201011220120110100
42003313122111232
514012324403402
61003310051530
7105552406026
oct20367322556
95634816410
102212341102
11a35899684
12518aa9ba6
1329346299a
1416db70a86
15ce35871c
hex83dda56e

2212341102 has 48 divisors (see below), whose sum is σ = 4960051200. Its totient is φ = 711925200.

The previous prime is 2212341077. The next prime is 2212341149. The reversal of 2212341102 is 2011432122.

It is a happy number.

2212341102 is a `hidden beast` number, since 221 + 2 + 341 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235899 + ... + 245097.

It is an arithmetic number, because the mean of its divisors is an integer number (103334400).

Almost surely, 22212341102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212341102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480025600).

2212341102 is an abundant number, since it is smaller than the sum of its proper divisors (2747710098).

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

2212341102 is a wasteful number, since it uses less digits than its factorization.

2212341102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9666 counting only the distinct ones).

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

The square root of 2212341102 is about 47035.5302085562. The cubic root of 2212341102 is about 1303.0188426402.

Adding to 2212341102 its reverse (2011432122), we get a palindrome (4223773224).

The spelling of 2212341102 in words is "two billion, two hundred twelve million, three hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 431 558 862 1293 2586 3879 7758 9199 13361 18398 26722 27597 40083 55194 80166 82791 120249 165582 240498 285169 570338 855507 1711014 2566521 3964769 5133042 7929538 11894307 23788614 35682921 71365842 122907839 245815678 368723517 737447034 1106170551 2212341102