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2246003340 = 2235710135279
BaseRepresentation
bin1000010111011111…
…0100101010001100
312210112020210100220
42011313310222030
514044434101330
61010511351340
7106441466460
oct20567645214
95715223326
102246003340
11a528a0609
12528222550
1329a41a879
141744144a0
15d22a7710
hex85df4a8c

2246003340 has 96 divisors (see below), whose sum is σ = 7195668480. Its totient is φ = 512768256.

The previous prime is 2246003321. The next prime is 2246003371. The reversal of 2246003340 is 433006422.

It is a happy number.

2246003340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2246003340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422821 + ... + 428099.

It is an arithmetic number, because the mean of its divisors is an integer number (74954880).

Almost surely, 22246003340 is an apocalyptic number.

2246003340 is a gapful number since it is divisible by the number (20) 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 2246003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597834240).

2246003340 is an abundant number, since it is smaller than the sum of its proper divisors (4949665140).

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

2246003340 is a wasteful number, since it uses less digits than its factorization.

2246003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2246003340 is about 47392.0176823060. The cubic root of 2246003340 is about 1309.5943696833.

Adding to 2246003340 its reverse (433006422), we get a palindrome (2679009762).

The spelling of 2246003340 in words is "two billion, two hundred forty-six million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1013 2026 3039 4052 5065 5279 6078 7091 10130 10558 12156 14182 15195 15837 20260 21116 21273 26395 28364 30390 31674 35455 36953 42546 52790 60780 63348 70910 73906 79185 85092 105580 106365 110859 141820 147812 158370 184765 212730 221718 316740 369530 425460 443436 554295 739060 1108590 2217180 5347627 10695254 16042881 21390508 26738135 32085762 37433389 53476270 64171524 74866778 80214405 106952540 112300167 149733556 160428810 187166945 224600334 320857620 374333890 449200668 561500835 748667780 1123001670 2246003340