Search a number
-
+
2199284832 = 2531729311499
BaseRepresentation
bin1000001100010110…
…0110110001100000
312200021100020121210
42003011212301200
514001004103312
61002122150120
7105333420063
oct20305466140
95607306553
102199284832
11a29491278
12514652340
13290840c94
1416c1328da
15cd129e3c
hex83166c60

2199284832 has 192 divisors, whose sum is σ = 6531840000. Its totient is φ = 644259840.

The previous prime is 2199284821. The next prime is 2199284839. The reversal of 2199284832 is 2384829912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199284839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466419 + ... + 1467917.

It is an arithmetic number, because the mean of its divisors is an integer number (34020000).

Almost surely, 22199284832 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 2199284832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920000).

2199284832 is an abundant number, since it is smaller than the sum of its proper divisors (4332555168).

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

2199284832 is a wasteful number, since it uses less digits than its factorization.

2199284832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1581 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 2199284832 is about 46896.5332620653. The cubic root of 2199284832 is about 1300.4505010649.

The spelling of 2199284832 in words is "two billion, one hundred ninety-nine million, two hundred eighty-four thousand, eight hundred thirty-two".