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231222112 = 25111733797
BaseRepresentation
bin11011100100000…
…10101101100000
3121010002022002221
431302002231200
5433143101422
634535520424
75505232642
oct1562025540
9533068087
10231222112
11109578660
1265529114
1338b99624
14229cc892
15154753c7
hexdc82b60

231222112 has 48 divisors (see below), whose sum is σ = 499604112. Its totient is φ = 104465920.

The previous prime is 231222107. The next prime is 231222119. The reversal of 231222112 is 211222132.

It is a happy number.

It is a super-4 number, since 4×2312221124 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58998 + ... + 62794.

It is an arithmetic number, because the mean of its divisors is an integer number (10408419).

Almost surely, 2231222112 is an apocalyptic number.

231222112 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 231222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249802056).

231222112 is an abundant number, since it is smaller than the sum of its proper divisors (268382000).

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

231222112 is a wasteful number, since it uses less digits than its factorization.

231222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3983 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 231222112 is about 15205.9893463069. The cubic root of 231222112 is about 613.7758379871.

Adding to 231222112 its reverse (211222132), we get a palindrome (442444244).

The spelling of 231222112 in words is "two hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1384 1903 2768 3797 3806 5536 7594 7612 15188 15224 30376 30448 41767 60752 60896 83534 121504 167068 334136 656881 668272 1313762 1336544 2627524 5255048 7225691 10510096 14451382 21020192 28902764 57805528 115611056 231222112