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2253856 = 251119337
BaseRepresentation
bin1000100110010000100000
311020111201011
420212100200
51034110411
6120150304
725105003
oct10462040
94214634
102253856
1112aa3a0
12908394
1360bb57
1442953a
152e7c21
hex226420

2253856 has 48 divisors (see below), whose sum is σ = 5110560. Its totient is φ = 967680.

The previous prime is 2253847. The next prime is 2253857. The reversal of 2253856 is 6583522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6520 + ... + 6856.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

22253856 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 2253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280).

2253856 is an abundant number, since it is smaller than the sum of its proper divisors (2856704).

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

2253856 is a wasteful number, since it uses less digits than its factorization.

2253856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 2253856 is about 1501.2847831108. The cubic root of 2253856 is about 131.1118831282. Note that the first 3 decimals are identical.

The spelling of 2253856 in words is "two million, two hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 337 352 418 608 674 836 1348 1672 2696 3344 3707 5392 6403 6688 7414 10784 12806 14828 25612 29656 51224 59312 70433 102448 118624 140866 204896 281732 563464 1126928 2253856