Search a number
-
+
2293280 = 255111303
BaseRepresentation
bin1000101111111000100000
311022111210022
420233320200
51041341110
6121053012
725330643
oct10577040
94274708
102293280
111326a80
12927168
13623a92
14439a5a
15304755
hex22fe20

2293280 has 48 divisors (see below), whose sum is σ = 5914944. Its totient is φ = 833280.

The previous prime is 2293273. The next prime is 2293301. The reversal of 2293280 is 823922.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (123228).

22293280 is an apocalyptic number.

2293280 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 2293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957472).

2293280 is an abundant number, since it is smaller than the sum of its proper divisors (3621664).

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

2293280 is a wasteful number, since it uses less digits than its factorization.

2293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2293280 is about 1514.3579497596. The cubic root of 2293280 is about 131.8719296546.

The spelling of 2293280 in words is "two million, two hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1303 1760 2606 5212 6515 10424 13030 14333 20848 26060 28666 41696 52120 57332 71665 104240 114664 143330 208480 229328 286660 458656 573320 1146640 2293280