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2244320 = 25513283
BaseRepresentation
bin1000100011111011100000
311020000121222
420203323200
51033304240
6120034212
725035131
oct10437340
94200558
102244320
1112a3211
12902968
13607700
14425c88
152e4eb5
hex223ee0

2244320 has 72 divisors (see below), whose sum is σ = 5810616. Its totient is φ = 818688.

The previous prime is 2244287. The next prime is 2244331. The reversal of 2244320 is 234422.

2244320 = T71 + T72 + ... + T239.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26999 + ... + 27081.

It is an arithmetic number, because the mean of its divisors is an integer number (80703).

22244320 is an apocalyptic number.

2244320 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 2244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905308).

2244320 is an abundant number, since it is smaller than the sum of its proper divisors (3566296).

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

2244320 is a wasteful number, since it uses less digits than its factorization.

2244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2244320 is about 1498.1054702523. The cubic root of 2244320 is about 130.9267115264.

Adding to 2244320 its reverse (234422), we get a palindrome (2478742).

The spelling of 2244320 in words is "two million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 169 208 260 332 338 415 416 520 664 676 830 845 1040 1079 1328 1352 1660 1690 2080 2158 2656 2704 3320 3380 4316 5395 5408 6640 6760 8632 10790 13280 13520 14027 17264 21580 27040 28054 34528 43160 56108 70135 86320 112216 140270 172640 224432 280540 448864 561080 1122160 2244320