Search a number
-
+
227223360 = 26335713172
BaseRepresentation
bin11011000101100…
…10011101000000
3120211120010212000
431202302131000
5431132121420
634314104000
75426236530
oct1542623500
9524503760
10227223360
11107297301
126411b000
13380c94c0
142226b4c0
1514e35690
hexd8b2740

227223360 has 672 divisors, whose sum is σ = 1048024320. Its totient is φ = 45121536.

The previous prime is 227223329. The next prime is 227223379. The reversal of 227223360 is 63322722.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13366072 + ... + 13366088.

It is an arithmetic number, because the mean of its divisors is an integer number (1559560).

Almost surely, 2227223360 is an apocalyptic number.

227223360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524012160).

227223360 is an abundant number, since it is smaller than the sum of its proper divisors (820800960).

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

227223360 is a wasteful number, since it uses less digits than its factorization.

227223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 227223360 is about 15073.9298127595. The cubic root of 227223360 is about 610.2170328682.

The spelling of 227223360 in words is "two hundred twenty-seven million, two hundred twenty-three thousand, three hundred sixty".