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2281290 = 2351131223
BaseRepresentation
bin1000101100111101001010
311021220100020
420230331022
51041000130
6120521310
725250664
oct10547512
94256306
102281290
111318a70
12920236
1361b49b
14435534
15300e10
hex22cf4a

2281290 has 64 divisors (see below), whose sum is σ = 6193152. Its totient is φ = 532800.

The previous prime is 2281277. The next prime is 2281291. The reversal of 2281290 is 921822.

2281290 is nontrivially palindromic in base 14.

2281290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2281290.

It is not an unprimeable number, because it can be changed into a prime (2281291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10119 + ... + 10341.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

22281290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096576).

2281290 is an abundant number, since it is smaller than the sum of its proper divisors (3911862).

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

2281290 is a wasteful number, since it uses less digits than its factorization.

2281290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2281290 is about 1510.3939883355. The cubic root of 2281290 is about 131.6417051080.

The spelling of 2281290 in words is "two million, two hundred eighty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 223 310 330 341 446 465 669 682 930 1023 1115 1338 1705 2046 2230 2453 3345 3410 4906 5115 6690 6913 7359 10230 12265 13826 14718 20739 24530 34565 36795 41478 69130 73590 76043 103695 152086 207390 228129 380215 456258 760430 1140645 2281290