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2112251232 = 253721322657
BaseRepresentation
bin111110111100110…
…0110010101100000
312110012120110222010
41331321212111200
513311214014412
6545332512520
7103225560600
oct17571462540
95405513863
102112251232
11994346683
124ab47b740
132787ba300
14160758c00
15c568733c
hex7de66560

2112251232 has 216 divisors, whose sum is σ = 6986850696. Its totient is φ = 556867584.

The previous prime is 2112251213. The next prime is 2112251233. The reversal of 2112251232 is 2321522112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2112251199 and 2112251208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112251233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 793648 + ... + 796304.

It is an arithmetic number, because the mean of its divisors is an integer number (32346531).

Almost surely, 22112251232 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 2112251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493425348).

2112251232 is an abundant number, since it is smaller than the sum of its proper divisors (4874599464).

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

2112251232 is a wasteful number, since it uses less digits than its factorization.

2112251232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2682 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2112251232 is about 45959.2344583763. The cubic root of 2112251232 is about 1283.0646034197.

Adding to 2112251232 its reverse (2321522112), we get a palindrome (4433773344).

The spelling of 2112251232 in words is "two billion, one hundred twelve million, two hundred fifty-one thousand, two hundred thirty-two".