Search a number
-
+
22213032303000 = 23353711175656489
BaseRepresentation
bin1010000110011110111111…
…11001100101100110011000
32220122112201102011121222010
411003033133321211212120
510402414242232144000
6115124305352425520
74451560435151310
oct503173771454630
986575642147863
1022213032303000
117094548708170
1225a904b6a82a0
13c518abb39266
1456b18b966440
15287c2a4bad50
hex1433dfe65998

22213032303000 has 512 divisors, whose sum is σ = 91488521779200. Its totient is φ = 4344182784000.

The previous prime is 22213032302953. The next prime is 22213032303043. The reversal of 22213032303000 is 30323031222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1098756 + ... + 6755244.

It is an arithmetic number, because the mean of its divisors is an integer number (178688519100).

Almost surely, 222213032303000 is an apocalyptic number.

22213032303000 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 22213032303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45744260889600).

22213032303000 is an abundant number, since it is smaller than the sum of its proper divisors (69275489476200).

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

22213032303000 is a wasteful number, since it uses less digits than its factorization.

22213032303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656548 (or 5656534 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22213032303000 its reverse (30323031222), we get a palindrome (22243355334222).

The spelling of 22213032303000 in words is "twenty-two trillion, two hundred thirteen billion, thirty-two million, three hundred three thousand".