Search a number
-
+
228840240 = 2435953501
BaseRepresentation
bin11011010001111…
…01001100110000
3120221121021210110
431220331030300
5432040341430
634412501320
75446052466
oct1550751460
9527537713
10228840240
111081a1072
126477a840
1338544435
142256c836
15151547b0
hexda3d330

228840240 has 40 divisors (see below), whose sum is σ = 709405488. Its totient is φ = 61024000.

The previous prime is 228840221. The next prime is 228840263. The reversal of 228840240 is 42048822.

228840240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 228840198 and 228840207.

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, 476511 + ... + 476990.

Almost surely, 2228840240 is an apocalyptic number.

228840240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228840240 is an abundant number, since it is smaller than the sum of its proper divisors (480565248).

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

228840240 is a wasteful number, since it uses less digits than its factorization.

228840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953517 (or 953511 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 228840240 is about 15127.4664104734. The cubic root of 228840240 is about 611.6610109517.

The spelling of 228840240 in words is "two hundred twenty-eight million, eight hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 953501 1907002 2860503 3814004 4767505 5721006 7628008 9535010 11442012 14302515 15256016 19070020 22884024 28605030 38140040 45768048 57210060 76280080 114420120 228840240