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2262016 = 210472
BaseRepresentation
bin1000101000010000000000
311020220220101
420220100000
51034341031
6120252144
725140541
oct10502000
94226811
102262016
111305539
12911054
13612793
1442c4c8
152ea361
hex228400

2262016 has 33 divisors (see below), whose sum is σ = 4620079. Its totient is φ = 1106944.

The previous prime is 2261993. The next prime is 2262017. The reversal of 2262016 is 6102622.

Adding to 2262016 its reverse (6102622), we get a palindrome (8364638).

Subtracting 2262016 from its reverse (6102622), we obtain a triangular number (3840606 = T2771).

The square root of 2262016 is 1504.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2261984 and 2262002.

It is not an unprimeable number, because it can be changed into a prime (2262017) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 48105 + ... + 48151.

22262016 is an apocalyptic number.

2262016 is the 1504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262016

2262016 is an abundant number, since it is smaller than the sum of its proper divisors (2358063).

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

2262016 is an frugal number, since it uses more digits than its factorization.

2262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 2262016 is about 131.2699210881.

The spelling of 2262016 in words is "two million, two hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2209 3008 4418 6016 8836 12032 17672 24064 35344 48128 70688 141376 282752 565504 1131008 2262016