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2246310 = 2325112269
BaseRepresentation
bin1000100100011010100110
311020010100200
420210122212
51033340220
6120051330
725044003
oct10443246
94203320
102246310
1112a4760
12903b46
136085a1
144268aa
152e5890
hex2246a6

2246310 has 48 divisors (see below), whose sum is σ = 6374160. Its totient is φ = 544320.

The previous prime is 2246297. The next prime is 2246323. The reversal of 2246310 is 136422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2246297) and next prime (2246323).

It is a super-2 number, since 2×22463102 = 10091817232200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (132795).

22246310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187080).

2246310 is an abundant number, since it is smaller than the sum of its proper divisors (4127850).

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

2246310 is a wasteful number, since it uses less digits than its factorization.

2246310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2246310 is about 1498.7694952860. The cubic root of 2246310 is about 130.9653969169.

It can be divided in two parts, 2246 and 310, that added together give a triangular number (2556 = T71).

The spelling of 2246310 in words is "two million, two hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2269 4538 6807 11345 13614 20421 22690 24959 34035 40842 49918 68070 74877 102105 124795 149754 204210 224631 249590 374385 449262 748770 1123155 2246310