Search a number
-
+
225548840 = 23511246601
BaseRepresentation
bin11010111000110…
…01101000101000
3120201102001211202
431130121220220
5430220030330
634214143332
75406063536
oct1534315050
9521361752
10225548840
11106353200
1263651b48
133796126a
1421d53156
1514c04445
hexd719a28

225548840 has 48 divisors (see below), whose sum is σ = 557825940. Its totient is φ = 82016000.

The previous prime is 225548837. The next prime is 225548881. The reversal of 225548840 is 48845522.

225548840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 206381956 + 19166884 = 14366^2 + 4378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225548794 and 225548803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18461 + ... + 28140.

Almost surely, 2225548840 is an apocalyptic number.

225548840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225548840 is an abundant number, since it is smaller than the sum of its proper divisors (332277100).

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

225548840 is a wasteful number, since it uses less digits than its factorization.

225548840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46634 (or 46619 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 225548840 is about 15018.2835237586. The cubic root of 225548840 is about 608.7143395830.

The spelling of 225548840 in words is "two hundred twenty-five million, five hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 46601 93202 186404 233005 372808 466010 512611 932020 1025222 1864040 2050444 2563055 4100888 5126110 5638721 10252220 11277442 20504440 22554884 28193605 45109768 56387210 112774420 225548840