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2253384 = 2332717263
BaseRepresentation
bin1000100110001001001000
311020111001200
420212021020
51034102014
6120144200
725103430
oct10461110
94214050
102253384
1112aa001
12908060
1360b883
144292c0
152e7a09
hex226248

2253384 has 96 divisors (see below), whose sum is σ = 7413120. Its totient is φ = 603648.

The previous prime is 2253371. The next prime is 2253389. The reversal of 2253384 is 4833522.

It is not an unprimeable number, because it can be changed into a prime (2253389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8437 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (77220).

22253384 is an apocalyptic number.

2253384 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 2253384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706560).

2253384 is an abundant number, since it is smaller than the sum of its proper divisors (5159736).

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

2253384 is a wasteful number, since it uses less digits than its factorization.

2253384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2253384 is about 1501.1275761906. The cubic root of 2253384 is about 131.1027300547.

The spelling of 2253384 in words is "two million, two hundred fifty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 263 306 357 408 476 504 526 612 714 789 952 1052 1071 1224 1428 1578 1841 2104 2142 2367 2856 3156 3682 4284 4471 4734 5523 6312 7364 8568 8942 9468 11046 13413 14728 16569 17884 18936 22092 26826 31297 33138 35768 40239 44184 53652 62594 66276 80478 93891 107304 125188 132552 160956 187782 250376 281673 321912 375564 563346 751128 1126692 2253384