Search a number
-
+
9228128000 = 28537133169
BaseRepresentation
bin10001001100000101…
…00000111100000000
3212211010100110210112
420212002200330000
5122344400044000
64123410450452
7444452536160
oct104602407400
925733313715
109228128000
113a06046173
121956593a28
13b40b05490
1463783a5a0
15390240235
hex2260a0f00

9228128000 has 288 divisors, whose sum is σ = 28302368640. Its totient is φ = 2919628800.

The previous prime is 9228127973. The next prime is 9228128023. The reversal of 9228128000 is 8218229.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2910416 + ... + 2913584.

Almost surely, 29228128000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9228128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151184320).

9228128000 is an abundant number, since it is smaller than the sum of its proper divisors (19074240640).

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

9228128000 is a wasteful number, since it uses less digits than its factorization.

9228128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 9228128000 is about 96063.1458989346. The cubic root of 9228128000 is about 2097.5123983351.

The spelling of 9228128000 in words is "nine billion, two hundred twenty-eight million, one hundred twenty-eight thousand".