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2281604 = 2213172989
BaseRepresentation
bin1000101101000010000100
311021220202212
420231002010
51041002404
6120522552
725251623
oct10550204
94256685
102281604
111319226
12920458
1361b680
144356ba
1530106e
hex22d084

2281604 has 48 divisors (see below), whose sum is σ = 4762800. Its totient is φ = 946176.

The previous prime is 2281579. The next prime is 2281607. The reversal of 2281604 is 4061822.

It can be written as a sum of positive squares in 8 ways, for example, as 91204 + 2190400 = 302^2 + 1480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2281604.

It is not an unprimeable number, because it can be changed into a prime (2281607) 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 15 ways as a sum of consecutive naturals, for example, 25592 + ... + 25680.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

22281604 is an apocalyptic number.

It is an amenable number.

2281604 is an abundant number, since it is smaller than the sum of its proper divisors (2481196).

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

2281604 is a wasteful number, since it uses less digits than its factorization.

2281604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2281604 is about 1510.4979311472. The cubic root of 2281604 is about 131.6477446147.

The spelling of 2281604 in words is "two million, two hundred eighty-one thousand, six hundred four".

Divisors: 1 2 4 13 17 26 29 34 52 58 68 89 116 178 221 356 377 442 493 754 884 986 1157 1508 1513 1972 2314 2581 3026 4628 5162 6052 6409 10324 12818 19669 25636 33553 39338 43877 67106 78676 87754 134212 175508 570401 1140802 2281604