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2226744 = 233313261
BaseRepresentation
bin1000011111101000111000
311012010112000
420133220320
51032223434
6115421000
724632652
oct10375070
94163460
102226744
111290a93
128b4760
135cc700
1441d6d2
152deb99
hex21fa38

2226744 has 96 divisors (see below), whose sum is σ = 6807600. Its totient is φ = 673920.

The previous prime is 2226733. The next prime is 2226767. The reversal of 2226744 is 4476222.

It is a happy number.

2226744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36474 + ... + 36534.

22226744 is an apocalyptic number.

2226744 is a gapful number since it is divisible by the number (24) 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 2226744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403800).

2226744 is an abundant number, since it is smaller than the sum of its proper divisors (4580856).

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

2226744 is a wasteful number, since it uses less digits than its factorization.

2226744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2226744 is about 1492.2278646373. The cubic root of 2226744 is about 130.5840388803.

The spelling of 2226744 in words is "two million, two hundred twenty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 104 108 117 122 156 169 183 216 234 244 312 338 351 366 468 488 507 549 676 702 732 793 936 1014 1098 1352 1404 1464 1521 1586 1647 2028 2196 2379 2808 3042 3172 3294 4056 4392 4563 4758 6084 6344 6588 7137 9126 9516 10309 12168 13176 14274 18252 19032 20618 21411 28548 30927 36504 41236 42822 57096 61854 82472 85644 92781 123708 171288 185562 247416 278343 371124 556686 742248 1113372 2226744