Search a number
-
+
22203201000000 = 2635619073881
BaseRepresentation
bin1010000110001100101011…
…11010001001001001000000
32220121121100020211200121210
411003012111322021021000
510402234123424000000
6115120002033450120
74451062006360326
oct503062572111100
986547306750553
1022203201000000
117090363145769
1225a7167110940
13c509a3095cc7
1456a8d7d97d16
15287852332350
hex143195e89240

22203201000000 has 392 divisors, whose sum is σ = 73488958704288. Its totient is φ = 5916224000000.

The previous prime is 22203200999999. The next prime is 22203201000067. The reversal of 22203201000000 is 10230222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22203201000000.

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 55 ways as a sum of consecutive naturals, for example, 5720998060 + ... + 5721001940.

Almost surely, 222203201000000 is an apocalyptic number.

22203201000000 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 22203201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36744479352144).

22203201000000 is an abundant number, since it is smaller than the sum of its proper divisors (51285757704288).

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

22203201000000 is an frugal number, since it uses more digits than its factorization.

22203201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22203201000000 its reverse (10230222), we get a palindrome (22203211230222).

The spelling of 22203201000000 in words is "twenty-two trillion, two hundred three billion, two hundred one million", and thus it is an aban number.