Search a number
-
+
2272710 = 235117197
BaseRepresentation
bin1000101010110111000110
311021110120110
420222313012
51040211320
6120413450
725213656
oct10526706
94243513
102272710
111312580
12917286
136175cb
14432366
152ed5e0
hex22adc6

2272710 has 64 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 537600.

The previous prime is 2272691. The next prime is 2272727. The reversal of 2272710 is 172722.

2272710 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 an unprimeable number.

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, 23382 + ... + 23478.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

22272710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2272710 is an abundant number, since it is smaller than the sum of its proper divisors (3823674).

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

2272710 is a wasteful number, since it uses less digits than its factorization.

2272710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2272710 is about 1507.5509941624. The cubic root of 2272710 is about 131.4764616411.

The spelling of 2272710 in words is "two million, two hundred seventy-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 97 110 142 165 194 213 291 330 355 426 485 582 710 781 970 1065 1067 1455 1562 2130 2134 2343 2910 3201 3905 4686 5335 6402 6887 7810 10670 11715 13774 16005 20661 23430 32010 34435 41322 68870 75757 103305 151514 206610 227271 378785 454542 757570 1136355 2272710