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2254112 = 25729347
BaseRepresentation
bin1000100110010100100000
311020112001122
420212110200
51034112422
6120151412
725105520
oct10462440
94215048
102254112
1112aa603
12908568
1360bcc3
14429680
152e7d42
hex226520

2254112 has 48 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 930048.

The previous prime is 2254111. The next prime is 2254121. The reversal of 2254112 is 2114522.

It is not an unprimeable number, because it can be changed into a prime (2254111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6323 + ... + 6669.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

22254112 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 2254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880).

2254112 is an abundant number, since it is smaller than the sum of its proper divisors (3007648).

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

2254112 is a wasteful number, since it uses less digits than its factorization.

2254112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 160, while the sum is 17.

The square root of 2254112 is about 1501.3700409959. The cubic root of 2254112 is about 131.1168469726.

Adding to 2254112 its reverse (2114522), we get a palindrome (4368634).

The spelling of 2254112 in words is "two million, two hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 347 406 464 694 812 928 1388 1624 2429 2776 3248 4858 5552 6496 9716 10063 11104 19432 20126 38864 40252 70441 77728 80504 140882 161008 281764 322016 563528 1127056 2254112