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2256352 = 25721439
BaseRepresentation
bin1000100110110111100000
311020122010121
420212313200
51034200402
6120210024
725115200
oct10466740
94218117
102256352
11130125a
12909914
13610027
1442a400
152e8837
hex226de0

2256352 has 36 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 966336.

The previous prime is 2256349. The next prime is 2256361. The reversal of 2256352 is 2536522.

It is a super-2 number, since 2×22563522 = 10182248695808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 849 + ... + 2287.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22256352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2256352 is an abundant number, since it is smaller than the sum of its proper divisors (2914688).

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

2256352 is a wasteful number, since it uses less digits than its factorization.

2256352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1448 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 2256352 is about 1502.1158410722. The cubic root of 2256352 is about 131.1602645880.

The spelling of 2256352 in words is "two million, two hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1439 1568 2878 5756 10073 11512 20146 23024 40292 46048 70511 80584 141022 161168 282044 322336 564088 1128176 2256352