Search a number
-
+
22333020000 = 253543112007
BaseRepresentation
bin10100110011001001…
…101101011101100000
32010122102111222000220
4110303021231131200
5331214223120000
614132030043040
71420301352324
oct246311553540
963572458026
1022333020000
119520453525
1243b3349480
13214bb41545
14111c0ab984
158aa9b11a0
hex53326d760

22333020000 has 240 divisors, whose sum is σ = 75626191872. Its totient is φ = 5762880000.

The previous prime is 22333019999. The next prime is 22333020077. The reversal of 22333020000 is 2033322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 1853997 + ... + 1866003.

Almost surely, 222333020000 is an apocalyptic number.

22333020000 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 22333020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37813095936).

22333020000 is an abundant number, since it is smaller than the sum of its proper divisors (53293171872).

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

22333020000 is a wasteful number, since it uses less digits than its factorization.

22333020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12071 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 22333020000 its reverse (2033322), we get a palindrome (22335053322).

The spelling of 22333020000 in words is "twenty-two billion, three hundred thirty-three million, twenty thousand".