Search a number
-
+
225671820 = 223511341927
BaseRepresentation
bin11010111001101…
…11101010001100
3120201122022112120
431130313222030
5430232444240
634220532540
75410115223
oct1534675214
9521568476
10225671820
11106427640
12636b1150
13379a522a
1421d85cba
1514c2aad0
hexd737a8c

225671820 has 48 divisors (see below), whose sum is σ = 689326848. Its totient is φ = 54708160.

The previous prime is 225671819. The next prime is 225671851. The reversal of 225671820 is 28176522.

It is a super-2 number, since 2×2256718202 = 101855540684224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170304 + ... + 171623.

It is an arithmetic number, because the mean of its divisors is an integer number (14360976).

Almost surely, 2225671820 is an apocalyptic number.

225671820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225671820 is an abundant number, since it is smaller than the sum of its proper divisors (463655028).

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

225671820 is a wasteful number, since it uses less digits than its factorization.

225671820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341950 (or 341948 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 225671820 is about 15022.3773085354. The cubic root of 225671820 is about 608.8249528585.

The spelling of 225671820 in words is "two hundred twenty-five million, six hundred seventy-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 341927 683854 1025781 1367708 1709635 2051562 3419270 3761197 4103124 5128905 6838540 7522394 10257810 11283591 15044788 18805985 20515620 22567182 37611970 45134364 56417955 75223940 112835910 225671820