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2213200000 = 275511503
BaseRepresentation
bin1000001111101010…
…1100000010000000
312201020112012122101
42003322230002000
514013034400000
61003340320144
7105562614064
oct20372540200
95636465571
102213200000
11a36325a10
12519243054
132936a38cb
1416dd15aa4
15ce477e6a
hex83eac080

2213200000 has 192 divisors, whose sum is σ = 6023989440. Its totient is φ = 803200000.

The previous prime is 2213199991. The next prime is 2213200013. The reversal of 2213200000 is 23122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2213200000.

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 23 ways as a sum of consecutive naturals, for example, 4399749 + ... + 4400251.

It is an arithmetic number, because the mean of its divisors is an integer number (31374945).

Almost surely, 22213200000 is an apocalyptic number.

2213200000 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 2213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011994720).

2213200000 is an abundant number, since it is smaller than the sum of its proper divisors (3810789440).

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

2213200000 is an frugal number, since it uses more digits than its factorization.

2213200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2213200000 is about 47044.6596331613. The cubic root of 2213200000 is about 1303.1874446515.

Adding to 2213200000 its reverse (23122), we get a palindrome (2213223122).

The spelling of 2213200000 in words is "two billion, two hundred thirteen million, two hundred thousand".