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2202256 = 2472532
BaseRepresentation
bin1000011001101010010000
311010212221001
420121222100
51030433011
6115111344
724501400
oct10315220
94125831
102202256
111274651
128a2554
135c1514
14414800
152d77c1
hex219a90

2202256 has 45 divisors (see below), whose sum is σ = 5058921. Its totient is φ = 926016.

The previous prime is 2202253. The next prime is 2202269. The reversal of 2202256 is 6522022.

The square root of 2202256 is 1484.

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

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 614656 = 1260^2 + 784^2 .

It is not an unprimeable number, because it can be changed into a prime (2202253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41526 + ... + 41578.

22202256 is an apocalyptic number.

2202256 is the 1484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202256

2202256 is an abundant number, since it is smaller than the sum of its proper divisors (2856665).

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

2202256 is an equidigital number, since it uses as much as digits as its factorization.

2202256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 2202256 is about 130.1035860781.

Adding to 2202256 its reverse (6522022), we get a palindrome (8724278).

The spelling of 2202256 in words is "two million, two hundred two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2809 2968 5194 5618 5936 10388 11236 19663 20776 22472 39326 41552 44944 78652 137641 157304 275282 314608 550564 1101128 2202256