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2206110144 = 26373139241
BaseRepresentation
bin1000001101111110…
…1001000111000000
312200202012000012010
42003133221013000
514004231011034
61002524332520
7105445425000
oct20337510700
95622160163
102206110144
11a32323227
125169a4140
13292090824
1416cdcc000
15cda273e9
hex837e91c0

2206110144 has 224 divisors, whose sum is σ = 6884416000. Its totient is φ = 623185920.

The previous prime is 2206110143. The next prime is 2206110199. The reversal of 2206110144 is 4410116022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2206110144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206110143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9153864 + ... + 9154104.

It is an arithmetic number, because the mean of its divisors is an integer number (30734000).

Almost surely, 22206110144 is an apocalyptic number.

2206110144 is a gapful number since it is divisible by the number (24) 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 2206110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442208000).

2206110144 is an abundant number, since it is smaller than the sum of its proper divisors (4678305856).

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

2206110144 is a wasteful number, since it uses less digits than its factorization.

2206110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2206110144 is about 46969.2467897879. The cubic root of 2206110144 is about 1301.7943946349.

Adding to 2206110144 its reverse (4410116022), we get a palindrome (6616226166).

The spelling of 2206110144 in words is "two billion, two hundred six million, one hundred ten thousand, one hundred forty-four".