Search a number
-
+
2204797824 = 27324347947
BaseRepresentation
bin1000001101101010…
…1000101110000000
312200122201100000200
42003122220232000
514003412012244
61002440245200
7105431320665
oct20332505600
95618640020
102204797824
11a31607269
12516470800
13291a213c8
1416cb69a6c
15cd868669
hex836a8b80

2204797824 has 192 divisors, whose sum is σ = 6637213440. Its totient is φ = 701826048.

The previous prime is 2204797811. The next prime is 2204797831. The reversal of 2204797824 is 4287974022.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×22047978242 = 9722266889430269952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2204797824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2327719 + ... + 2328665.

It is an arithmetic number, because the mean of its divisors is an integer number (34568820).

Almost surely, 22204797824 is an apocalyptic number.

2204797824 is a gapful number since it is divisible by the number (24) 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 2204797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318606720).

2204797824 is an abundant number, since it is smaller than the sum of its proper divisors (4432415616).

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

2204797824 is a wasteful number, since it uses less digits than its factorization.

2204797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2204797824 is about 46955.2747196734. The cubic root of 2204797824 is about 1301.5362162779.

The spelling of 2204797824 in words is "two billion, two hundred four million, seven hundred ninety-seven thousand, eight hundred twenty-four".