Search a number
-
+
22002011000200 = 235271127710334993
BaseRepresentation
bin1010000000010101111100…
…00011001100110110001000
32212220101000222100202021201
411000022332003030312020
510340440104304001300
6114443330113513544
74430410225525210
oct500127603146610
985811028322251
1022002011000200
117013000689060
122574178b728b4
13c37a1c37434a
14560c8dc2b240
152824c969a66a
hex1402be0ccd88

22002011000200 has 384 divisors, whose sum is σ = 64082295256320. Its totient is φ = 6825030451200.

The previous prime is 22002011000197. The next prime is 22002011000231. The reversal of 22002011000200 is 200011020022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4406568904 + ... + 4406573896.

It is an arithmetic number, because the mean of its divisors is an integer number (166880977230).

Almost surely, 222002011000200 is an apocalyptic number.

22002011000200 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 22002011000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32041147628160).

22002011000200 is an abundant number, since it is smaller than the sum of its proper divisors (42080284256120).

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

22002011000200 is a wasteful number, since it uses less digits than its factorization.

22002011000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22002011000200 its reverse (200011020022), we get a palindrome (22202022020222).

The spelling of 22002011000200 in words is "twenty-two trillion, two billion, eleven million, two hundred", and thus it is an aban number.