Search a number
-
+
228925440 = 21335523
BaseRepresentation
bin11011010010100…
…10000000000000
3120221202121200000
431221102000000
5432101103230
634414400000
75446556052
oct1551220000
9527677600
10228925440
1110824a087
1264800000
1338574153
14225918d2
151516eb60
hexda52000

228925440 has 336 divisors, whose sum is σ = 858731328. Its totient is φ = 58392576.

The previous prime is 228925439. The next prime is 228925441. The reversal of 228925440 is 44529822.

228925440 is a `hidden beast` number, since 2 + 28 + 92 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228925439) and next prime (228925441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 228925395 and 228925404.

It is not an unprimeable number, because it can be changed into a prime (228925441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953269 + ... + 9953291.

It is an arithmetic number, because the mean of its divisors is an integer number (2555748).

Almost surely, 2228925440 is an apocalyptic number.

228925440 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 228925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429365664).

228925440 is an abundant number, since it is smaller than the sum of its proper divisors (629805888).

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

228925440 is an frugal number, since it uses more digits than its factorization.

228925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 228925440 is about 15130.2822181214. The cubic root of 228925440 is about 611.7369111400.

The spelling of 228925440 in words is "two hundred twenty-eight million, nine hundred twenty-five thousand, four hundred forty".