Search a number
-
+
22211102210000 = 245411827324407
BaseRepresentation
bin1010000110011011011001…
…10110110111011111010000
32220122100201220100202010012
411003031230312313133100
510402401314131210000
6115123350044054052
74451461550505104
oct503155466673720
986570656322105
1022211102210000
117093748178790
1225a87b1234328
13c51661cca2b2
1456b0474a7904
15287b65d16735
hex14336cdb77d0

22211102210000 has 200 divisors, whose sum is σ = 58673458033344. Its totient is φ = 8075457280000.

The previous prime is 22211102209927. The next prime is 22211102210021. The reversal of 22211102210000 is 1220111222.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×222111022100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 910017797 + ... + 910042203.

Almost surely, 222211102210000 is an apocalyptic number.

22211102210000 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 22211102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29336729016672).

22211102210000 is an abundant number, since it is smaller than the sum of its proper divisors (36462355823344).

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

22211102210000 is a wasteful number, since it uses less digits than its factorization.

22211102210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719 (or 32698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22211102210000 its reverse (1220111222), we get a palindrome (22212322321222).

The spelling of 22211102210000 in words is "twenty-two trillion, two hundred eleven billion, one hundred two million, two hundred ten thousand".