Search a number
-
+
2248570368 = 2935113153
BaseRepresentation
bin1000011000000110…
…0111011000000000
312210201002012200000
42012001213120000
514101113222433
61011042400000
7106502350512
oct20601473000
95721065600
102248570368
11a54294220
12529060000
1329ab09115
141748c1bb2
15d2613113
hex86067600

2248570368 has 480 divisors, whose sum is σ = 7721505792. Its totient is φ = 646963200.

The previous prime is 2248570351. The next prime is 2248570369. The reversal of 2248570368 is 8630758422.

2248570368 is a `hidden beast` number, since 2 + 2 + 48 + 570 + 36 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248570369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42425830 + ... + 42425882.

Almost surely, 22248570368 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 2248570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

2248570368 is an abundant number, since it is smaller than the sum of its proper divisors (5472935424).

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

2248570368 is an equidigital number, since it uses as much as digits as its factorization.

2248570368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2248570368 is about 47419.0928635291. The cubic root of 2248570368 is about 1310.0931052836.

The spelling of 2248570368 in words is "two billion, two hundred forty-eight million, five hundred seventy thousand, three hundred sixty-eight".