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2274320 = 24528429
BaseRepresentation
bin1000101011010000010000
311021112210002
420223100100
51040234240
6120425132
725221446
oct10532020
94245702
102274320
111313804
129181a8
13618269
14432b96
152edd15
hex22b410

2274320 has 20 divisors (see below), whose sum is σ = 5287980. Its totient is φ = 909696.

The previous prime is 2274289. The next prime is 2274329. The reversal of 2274320 is 234722.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 795664 + 1478656 = 892^2 + 1216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2 + 23 + 7 + 4 + 311 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2274292 and 2274301.

It is not an unprimeable number, because it can be changed into a prime (2274329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14135 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (264399).

22274320 is an apocalyptic number.

2274320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2274320 is an abundant number, since it is smaller than the sum of its proper divisors (3013660).

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

2274320 is a wasteful number, since it uses less digits than its factorization.

2274320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28442 (or 28436 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2274320 is about 1508.0848782479. The cubic root of 2274320 is about 131.5075005240.

The spelling of 2274320 in words is "two million, two hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28429 56858 113716 142145 227432 284290 454864 568580 1137160 2274320