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2200011000 = 2335311163409
BaseRepresentation
bin1000001100100001…
…1000000011111000
312200022201010201220
42003020120003320
514001200323000
61002145512040
7105342533145
oct20310300370
95608633656
102200011000
11a29937910
12514942620
13290a36675
1416c2813cc
15cd2201a0
hex832180f8

2200011000 has 256 divisors, whose sum is σ = 7552396800. Its totient is φ = 528768000.

The previous prime is 2200010993. The next prime is 2200011067. The reversal of 2200011000 is 1100022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2200011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5378796 + ... + 5379204.

It is an arithmetic number, because the mean of its divisors is an integer number (29501550).

Almost surely, 22200011000 is an apocalyptic number.

2200011000 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 2200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776198400).

2200011000 is an abundant number, since it is smaller than the sum of its proper divisors (5352385800).

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

2200011000 is a wasteful number, since it uses less digits than its factorization.

2200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2200011000 is about 46904.2748584817. The cubic root of 2200011000 is about 1300.5936145002.

Adding to 2200011000 its reverse (1100022), we get a palindrome (2201111022).

The spelling of 2200011000 in words is "two billion, two hundred million, eleven thousand".