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2112362772 = 223133194217
BaseRepresentation
bin111110111101000…
…0001100100010100
312110012210010222020
41331322001210110
513311231102042
6545335133140
7103226534022
oct17572014424
95405703866
102112362772
11994412463
124ab5141b0
13278829000
14160787712
15c56aa3ec
hex7de81914

2112362772 has 96 divisors (see below), whose sum is σ = 5621750400. Its totient is φ = 615603456.

The previous prime is 2112362767. The next prime is 2112362779. The reversal of 2112362772 is 2772632112.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112362779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498808 + ... + 503024.

It is an arithmetic number, because the mean of its divisors is an integer number (58559900).

Almost surely, 22112362772 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 2112362772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810875200).

2112362772 is an abundant number, since it is smaller than the sum of its proper divisors (3509387628).

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

2112362772 is a wasteful number, since it uses less digits than its factorization.

2112362772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4254 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 2112362772 is about 45960.4479090446. The cubic root of 2112362772 is about 1283.0871876187.

Adding to 2112362772 its reverse (2772632112), we get a palindrome (4884994884).

The spelling of 2112362772 in words is "two billion, one hundred twelve million, three hundred sixty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2197 2964 3211 4217 4394 6422 6591 8434 8788 9633 12651 12844 13182 16868 19266 25302 26364 38532 41743 50604 54821 80123 83486 109642 125229 160246 164463 166972 219284 240369 250458 320492 328926 480738 500916 657852 712673 961476 1041599 1425346 2083198 2138019 2850692 3124797 4166396 4276038 6249594 8552076 9264749 12499188 13540787 18529498 27081574 27794247 37058996 40622361 54163148 55588494 81244722 111176988 162489444 176030231 352060462 528090693 704120924 1056181386 2112362772