Search a number
-
+
22100100200208 = 24321922203192979
BaseRepresentation
bin1010000011001100101001…
…00111110011011100010000
32220020202012222111101201100
411001212110213303130100
510344042001122401313
6115000351301504400
74440452041133232
oct501462447633420
986222188441640
1022100100200208
117050666461908
12258b192a12100
13c4405203b4b4
145659171b2252
15284d1ac92173
hex1419949f3710

22100100200208 has 180 divisors, whose sum is σ = 65306124820560. Its totient is φ = 6975774919296.

The previous prime is 22100100200203. The next prime is 22100100200267. The reversal of 22100100200208 is 80200200100122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22100100200203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114424263 + ... + 114617241.

Almost surely, 222100100200208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100100200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32653062410280).

22100100200208 is an abundant number, since it is smaller than the sum of its proper divisors (43206024620352).

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

22100100200208 is a wasteful number, since it uses less digits than its factorization.

22100100200208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195234 (or 195206 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 22100100200208 in words is "twenty-two trillion, one hundred billion, one hundred million, two hundred thousand, two hundred eight".