Search a number
-
+
227128320 = 2103353153
BaseRepresentation
bin11011000100110…
…11010000000000
3120211101022111000
431202123100000
5431121101240
634312052000
75425362456
oct1542332000
9524338430
10227128320
11107231961
1264094000
1338095173
14222449d6
1514e17430
hexd89b400

227128320 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 57507840.

The previous prime is 227128309. The next prime is 227128339. The reversal of 227128320 is 23821722.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 4285414 + ... + 4285466.

Almost surely, 2227128320 is an apocalyptic number.

227128320 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 227128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

227128320 is an abundant number, since it is smaller than the sum of its proper divisors (621803520).

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

227128320 is a wasteful number, since it uses less digits than its factorization.

227128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 227128320 is about 15070.7770204459. Note that the first 3 decimals coincide. The cubic root of 227128320 is about 610.1319431508.

The spelling of 227128320 in words is "two hundred twenty-seven million, one hundred twenty-eight thousand, three hundred twenty".