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2246112 = 253211709
BaseRepresentation
bin1000100100010111100000
311020010002100
420210113200
51033333422
6120050400
725043301
oct10442740
94203070
102246112
1112a45a0
12903a00
1360847b
144267a8
152e57ac
hex2245e0

2246112 has 72 divisors (see below), whose sum is σ = 6977880. Its totient is φ = 679680.

The previous prime is 2246107. The next prime is 2246117. The reversal of 2246112 is 2116422.

It is an interprime number because it is at equal distance from previous prime (2246107) and next prime (2246117).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2814 + ... + 3522.

It is an arithmetic number, because the mean of its divisors is an integer number (96915).

22246112 is an apocalyptic number.

2246112 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 2246112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488940).

2246112 is an abundant number, since it is smaller than the sum of its proper divisors (4731768).

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

2246112 is a wasteful number, since it uses less digits than its factorization.

2246112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2246112 is about 1498.7034396437. The cubic root of 2246112 is about 130.9615488416.

It can be divided in two parts, 224 and 6112, that added together give a palindrome (6336).

The spelling of 2246112 in words is "two million, two hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 709 792 1056 1418 1584 2127 2836 3168 4254 5672 6381 7799 8508 11344 12762 15598 17016 22688 23397 25524 31196 34032 46794 51048 62392 68064 70191 93588 102096 124784 140382 187176 204192 249568 280764 374352 561528 748704 1123056 2246112