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2122221112 = 23111719197379
BaseRepresentation
bin111111001111110…
…1000011000111000
312110220100000001221
41332133220120320
513321242033422
6550330321424
7103406403364
oct17637503070
95426300057
102122221112
11999a36150
124b2889274
1327a89b24b
14161bd22a4
15c64a63c7
hex7e7e8638

2122221112 has 128 divisors (see below), whose sum is σ = 4875552000. Its totient is φ = 853493760.

The previous prime is 2122221083. The next prime is 2122221133. The reversal of 2122221112 is 2111222212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5599339 + ... + 5599717.

It is an arithmetic number, because the mean of its divisors is an integer number (38090250).

Almost surely, 22122221112 is an apocalyptic number.

2122221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437776000).

2122221112 is an abundant number, since it is smaller than the sum of its proper divisors (2753330888).

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

2122221112 is a wasteful number, since it uses less digits than its factorization.

2122221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 2122221112 is about 46067.5711536868. The cubic root of 2122221112 is about 1285.0801348987.

Adding to 2122221112 its reverse (2111222212), we get a palindrome (4233443324).

The spelling of 2122221112 in words is "two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 197 209 323 374 379 394 418 646 748 758 788 836 1292 1496 1516 1576 1672 2167 2584 3032 3349 3553 3743 4169 4334 6443 6698 7106 7201 7486 8338 8668 12886 13396 14212 14402 14972 16676 17336 25772 26792 28424 28804 29944 33352 36839 41173 51544 57608 63631 70873 73678 74663 79211 82346 122417 127262 141746 147356 149326 158422 164692 244834 254524 283492 294712 298652 316844 329384 489668 509048 566984 597304 633688 699941 821293 979336 1269271 1346587 1399882 1418597 1642586 2538542 2693174 2799764 2837194 3285172 5077084 5386348 5599528 5674388 6570344 10154168 10772696 11348776 13961981 15604567 24116149 27923962 31209134 48232298 55847924 62418268 96464596 111695848 124836536 192929192 265277639 530555278 1061110556 2122221112