Search a number
-
+
2263780 = 225113189
BaseRepresentation
bin1000101000101011100100
311021000022201
420220223210
51034420110
6120304244
725145641
oct10505344
94230281
102263780
1113068a2
12912084
1361351c
1442cdc8
152eab3a
hex228ae4

2263780 has 12 divisors (see below), whose sum is σ = 4753980. Its totient is φ = 905504.

The previous prime is 2263777. The next prime is 2263787. The reversal of 2263780 is 873622.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 1387684 = 936^2 + 1178^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 221 + 66 + 37 + 76 + 8 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2263787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56575 + ... + 56614.

It is an arithmetic number, because the mean of its divisors is an integer number (396165).

22263780 is an apocalyptic number.

2263780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263780 is an abundant number, since it is smaller than the sum of its proper divisors (2490200).

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

2263780 is a wasteful number, since it uses less digits than its factorization.

2263780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113198 (or 113196 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2263780 is about 1504.5863218839. The cubic root of 2263780 is about 131.3040351960.

The spelling of 2263780 in words is "two million, two hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 113189 226378 452756 565945 1131890 2263780