Search a number
-
+
2265240 = 233543439
BaseRepresentation
bin1000101001000010011000
311021002022210
420221002120
51034441430
6120315120
725153125
oct10510230
94232283
102265240
1113079aa
12912aa0
136140a3
1442d74c
152eb2b0
hex229098

2265240 has 64 divisors (see below), whose sum is σ = 6969600. Its totient is φ = 588672.

The previous prime is 2265239. The next prime is 2265269. The reversal of 2265240 is 425622.

It is a congruent number.

It is an unprimeable number.

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, 4941 + ... + 5379.

It is an arithmetic number, because the mean of its divisors is an integer number (108900).

22265240 is an apocalyptic number.

2265240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484800).

2265240 is an abundant number, since it is smaller than the sum of its proper divisors (4704360).

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

2265240 is a wasteful number, since it uses less digits than its factorization.

2265240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2265240 is about 1505.0714268765. The cubic root of 2265240 is about 131.3322568274.

The spelling of 2265240 in words is "two million, two hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 439 516 645 860 878 1032 1290 1317 1720 1756 2195 2580 2634 3512 4390 5160 5268 6585 8780 10536 13170 17560 18877 26340 37754 52680 56631 75508 94385 113262 151016 188770 226524 283155 377540 453048 566310 755080 1132620 2265240