Search a number
-
+
2265220 = 225532137
BaseRepresentation
bin1000101001000010000100
311021002022001
420221002010
51034441340
6120315044
725153066
oct10510204
94232261
102265220
111307991
12912a84
13614089
1442d736
152eb29a
hex229084

2265220 has 24 divisors (see below), whose sum is σ = 4848984. Its totient is φ = 888576.

The previous prime is 2265173. The next prime is 2265223. The reversal of 2265220 is 225622.

It can be written as a sum of positive squares in 4 ways, for example, as 51076 + 2214144 = 226^2 + 1488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (202041).

22265220 is an apocalyptic number.

2265220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265220 is an abundant number, since it is smaller than the sum of its proper divisors (2583764).

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

2265220 is a wasteful number, since it uses less digits than its factorization.

2265220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2265220 is about 1505.0647826589. The cubic root of 2265220 is about 131.3318703116.

It can be divided in two parts, 2265 and 220, that added together give a triangular number (2485 = T70).

The spelling of 2265220 in words is "two million, two hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2137 4274 8548 10685 21370 42740 113261 226522 453044 566305 1132610 2265220