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2201100000 = 25355112329
BaseRepresentation
bin1000001100110010…
…0001111011100000
312200101202110120020
42003030201323200
514001440200000
61002225113440
7105355020111
oct20314417340
95611673506
102201100000
11a2a511010
12515188880
13291028248
1416c486208
15cd387ba0
hex83321ee0

2201100000 has 576 divisors, whose sum is σ = 8504455680. Its totient is φ = 492800000.

The previous prime is 2201099981. The next prime is 2201100061. The reversal of 2201100000 is 11022.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75899986 + ... + 75900014.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 22201100000 is an apocalyptic number.

2201100000 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 2201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252227840).

2201100000 is an abundant number, since it is smaller than the sum of its proper divisors (6303355680).

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

2201100000 is a wasteful number, since it uses less digits than its factorization.

2201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

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

The square root of 2201100000 is about 46915.8821722453. The cubic root of 2201100000 is about 1300.8081759750.

Adding to 2201100000 its reverse (11022), we get a palindrome (2201111022).

It can be divided in two parts, 2201 and 100000, that added together give a palindrome (102201).

The spelling of 2201100000 in words is "two billion, two hundred one million, one hundred thousand".