Search a number
-
+
228639760 = 24510128297
BaseRepresentation
bin11011010000011…
…00010000010000
3120221020002210021
431220030100100
5432012433020
634404313224
75444256136
oct1550142020
9527202707
10228639760
11108074488
12646a2814
13384a40cb
1422519756
15151151aa
hexda0c410

228639760 has 40 divisors (see below), whose sum is σ = 536869656. Its totient is φ = 90547200.

The previous prime is 228639731. The next prime is 228639769. The reversal of 228639760 is 67936822.

It can be written as a sum of positive squares in 4 ways, for example, as 31181056 + 197458704 = 5584^2 + 14052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2286397602 = 104552279705715200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (228639769) 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, 6069 + ... + 22228.

Almost surely, 2228639760 is an apocalyptic number.

228639760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228639760 is an abundant number, since it is smaller than the sum of its proper divisors (308229896).

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

228639760 is a wasteful number, since it uses less digits than its factorization.

228639760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28411 (or 28405 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 228639760 is about 15120.8386010829. The cubic root of 228639760 is about 611.4823395395.

It can be divided in two parts, 22863 and 9760, that added together give a palindrome (32623).

The spelling of 228639760 in words is "two hundred twenty-eight million, six hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 28297 56594 113188 141485 226376 282970 452752 565940 1131880 2263760 2857997 5715994 11431988 14289985 22863976 28579970 45727952 57159940 114319880 228639760