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2274064 = 24132292
BaseRepresentation
bin1000101011001100010000
311021112102121
420223030100
51040232224
6120424024
725220632
oct10531420
94245377
102274064
1113135a1
12918014
13618100
14432a52
152edbe4
hex22b310

2274064 has 45 divisors (see below), whose sum is σ = 4941183. Its totient is φ = 1013376.

The previous prime is 2274049. The next prime is 2274089. The reversal of 2274064 is 4604722.

The square root of 2274064 is 1508.

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

It can be written as a sum of positive squares in 4 ways, for example, as 291600 + 1982464 = 540^2 + 1408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78402 + ... + 78430.

22274064 is an apocalyptic number.

2274064 is the 1508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274064

2274064 is an abundant number, since it is smaller than the sum of its proper divisors (2667119).

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

2274064 is a wasteful number, since it uses less digits than its factorization.

2274064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The cubic root of 2274064 is about 131.5025661284.

Multiplying 2274064 by its sum of digits (25), we get a square (56851600 = 75402).

Adding to 2274064 its reverse (4604722), we get a palindrome (6878786).

The spelling of 2274064 in words is "two million, two hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 841 1352 1508 1682 2704 3016 3364 4901 6032 6728 9802 10933 13456 19604 21866 39208 43732 78416 87464 142129 174928 284258 568516 1137032 2274064