Search a number
-
+
22004400000 = 27355111667
BaseRepresentation
bin10100011111100100…
…000111111110000000
32002210112011100010210
4110133210013332000
5330031111300000
614035250354120
71406201212452
oct243744077600
962715140123
1022004400000
119371a01450
12432128b940
1320c8a3293b
1410ca5a82d2
1588bbec350
hex51f907f80

22004400000 has 384 divisors, whose sum is σ = 79746145920. Its totient is φ = 5331200000.

The previous prime is 22004399993. The next prime is 22004400031. The reversal of 22004400000 is 440022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

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 47 ways as a sum of consecutive naturals, for example, 13199167 + ... + 13200833.

It is an arithmetic number, because the mean of its divisors is an integer number (207672255).

Almost surely, 222004400000 is an apocalyptic number.

22004400000 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 22004400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39873072960).

22004400000 is an abundant number, since it is smaller than the sum of its proper divisors (57741745920).

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

22004400000 is an equidigital number, since it uses as much as digits as its factorization.

22004400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22004400000 its reverse (440022), we get a palindrome (22004840022).

The spelling of 22004400000 in words is "twenty-two billion, four million, four hundred thousand".