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22325324500 = 2253229194981
BaseRepresentation
bin10100110010101100…
…010110101011010100
32010121220000222210101
4110302230112223110
5331210240341000
614131153103444
71420146061423
oct246254265324
963556028711
1022325324500
119517077806
1243b0857b84
13214a3788ab
14111b0672ba
158a9e90e6a
hex532b16ad4

22325324500 has 48 divisors (see below), whose sum is σ = 48971679120. Its totient is φ = 8891088000.

The previous prime is 22325324491. The next prime is 22325324543. The reversal of 22325324500 is 542352322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5705989444 + 16619335056 = 75538^2 + 128916^2 .

It is a super-3 number, since 3×223253245003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17010 + ... + 211990.

It is an arithmetic number, because the mean of its divisors is an integer number (1020243315).

Almost surely, 222325324500 is an apocalyptic number.

22325324500 is a gapful number since it is divisible by the number (20) 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 22325324500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485839560).

22325324500 is an abundant number, since it is smaller than the sum of its proper divisors (26646354620).

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

22325324500 is a wasteful number, since it uses less digits than its factorization.

22325324500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195229 (or 195217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 22325324500 its reverse (542352322), we get a palindrome (22867676822).

The spelling of 22325324500 in words is "twenty-two billion, three hundred twenty-five million, three hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 229 250 458 500 916 1145 2290 4580 5725 11450 22900 28625 57250 114500 194981 389962 779924 974905 1949810 3899620 4874525 9749050 19498100 24372625 44650649 48745250 89301298 97490500 178602596 223253245 446506490 893012980 1116266225 2232532450 4465064900 5581331125 11162662250 22325324500