Search a number
-
+
10297228032 = 283571317107
BaseRepresentation
bin10011001011100001…
…10011101100000000
3222120122001101100000
421211300303230000
5132042042244112
64421441200000
7513113664660
oct114560635400
928518041300
1010297228032
114404575913
121bb4630000
13c81457650
146d98141a0
154040207dc
hex265c33b00

10297228032 has 864 divisors, whose sum is σ = 40498278912. Its totient is φ = 2532114432.

The previous prime is 10297228031. The next prime is 10297228033. The reversal of 10297228032 is 23082279201.

It is an interprime number because it is at equal distance from previous prime (10297228031) and next prime (10297228033).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10297228031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96235723 + ... + 96235829.

It is an arithmetic number, because the mean of its divisors is an integer number (46873008).

Almost surely, 210297228032 is an apocalyptic number.

10297228032 is a gapful number since it is divisible by the number (12) 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 10297228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20249139456).

10297228032 is an abundant number, since it is smaller than the sum of its proper divisors (30201050880).

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

10297228032 is a wasteful number, since it uses less digits than its factorization.

10297228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10297228032 in words is "ten billion, two hundred ninety-seven million, two hundred twenty-eight thousand, thirty-two".