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2242760 = 2351319227
BaseRepresentation
bin1000100011100011001000
311012221111012
420203203020
51033232020
6120023052
725030442
oct10434310
94187435
102242760
1112a2023
12901a88
13606aa0
14425492
152e47c5
hex2238c8

2242760 has 64 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 781056.

The previous prime is 2242739. The next prime is 2242763. The reversal of 2242760 is 672422.

It is not an unprimeable number, because it can be changed into a prime (2242763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9767 + ... + 9993.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

22242760 is an apocalyptic number.

2242760 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 2242760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2242760 is an abundant number, since it is smaller than the sum of its proper divisors (3502840).

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

2242760 is a wasteful number, since it uses less digits than its factorization.

2242760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2242760 is about 1497.5847221443. The cubic root of 2242760 is about 130.8963692978.

It can be divided in two parts, 22427 and 60, that multiplied together give a triangular number (1345620 = T1640).

The spelling of 2242760 in words is "two million, two hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 227 247 260 380 454 494 520 760 908 988 1135 1235 1816 1976 2270 2470 2951 4313 4540 4940 5902 8626 9080 9880 11804 14755 17252 21565 23608 29510 34504 43130 56069 59020 86260 112138 118040 172520 224276 280345 448552 560690 1121380 2242760