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2280252 = 2231347311
BaseRepresentation
bin1000101100101100111100
311021211220210
420230230330
51040432002
6120512420
725244652
oct10545474
94254823
102280252
111318207
1291b710
1361ab80
14434dd2
1530096c
hex22cb3c

2280252 has 48 divisors (see below), whose sum is σ = 5870592. Its totient is φ = 684480.

The previous prime is 2280221. The next prime is 2280253. The reversal of 2280252 is 2520822.

2280252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280253) 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 15 ways as a sum of consecutive naturals, for example, 7177 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

22280252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296).

2280252 is an abundant number, since it is smaller than the sum of its proper divisors (3590340).

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

2280252 is a wasteful number, since it uses less digits than its factorization.

2280252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2280252 is about 1510.0503302870. The cubic root of 2280252 is about 131.6217361694.

The spelling of 2280252 in words is "two million, two hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 311 564 611 622 933 1222 1244 1833 1866 2444 3666 3732 4043 7332 8086 12129 14617 16172 24258 29234 43851 48516 58468 87702 175404 190021 380042 570063 760084 1140126 2280252