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22100210000 = 245411316481
BaseRepresentation
bin10100100101010001…
…100111000101010000
32010001012102222202022
4110211101213011100
5330230123210000
614052552111012
71411443454061
oct244521470520
963035388668
1022100210000
119410aa0970
124349395468
13211283a24b
1410d91c8568
15895325585
hex525467150

22100210000 has 200 divisors, whose sum is σ = 60263309568. Its totient is φ = 7776000000.

The previous prime is 22100209921. The next prime is 22100210009. The reversal of 22100210000 is 1200122.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22100210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3406760 + ... + 3413240.

Almost surely, 222100210000 is an apocalyptic number.

22100210000 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 22100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30131654784).

22100210000 is an abundant number, since it is smaller than the sum of its proper divisors (38163099568).

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

22100210000 is a wasteful number, since it uses less digits than its factorization.

22100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22100210000 its reverse (1200122), we get a palindrome (22101410122).

The spelling of 22100210000 in words is "twenty-two billion, one hundred million, two hundred ten thousand".