Search a number
-
+
2204836187904 = 28337218233571
BaseRepresentation
bin100000000101011010011…
…110100100111100000000
321210210001211021100002000
4200011122132210330000
5242111001031003104
64404515431224000
7315202616242200
oct40053236447400
97723054240060
102204836187904
1178007a603599
122b738b218000
1312cbb87b849c
1478a00d90400
153c545ceb639
hex2015a7a4f00

2204836187904 has 432 divisors, whose sum is σ = 7590878346240. Its totient is φ = 629431326720.

The previous prime is 2204836187893. The next prime is 2204836187909. The reversal of 2204836187904 is 4097816384022.

2204836187904 is a `hidden beast` number, since 2 + 20 + 483 + 61 + 87 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×22048361879042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204836187909) 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, 617426439 + ... + 617430009.

Almost surely, 22204836187904 is an apocalyptic number.

2204836187904 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 2204836187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795439173120).

2204836187904 is an abundant number, since it is smaller than the sum of its proper divisors (5386042158336).

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

2204836187904 is a wasteful number, since it uses less digits than its factorization.

2204836187904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2204836187904 in words is "two trillion, two hundred four billion, eight hundred thirty-six million, one hundred eighty-seven thousand, nine hundred four".