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2210001300 = 2233521379797
BaseRepresentation
bin1000001110111001…
…1111000110010100
312201000111200212000
42003232133012110
514011230020200
61003143555300
7105523462323
oct20356370624
95630450760
102210001300
11a34540761
1251815bb30
13292b239a0
1416d7220ba
15ce045300
hex83b9f194

2210001300 has 288 divisors, whose sum is σ = 7757836800. Its totient is φ = 536440320.

The previous prime is 2210001293. The next prime is 2210001317. The reversal of 2210001300 is 31000122.

It is a happy number.

2210001300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 2772502 + ... + 2773298.

Almost surely, 22210001300 is an apocalyptic number.

2210001300 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 2210001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878918400).

2210001300 is an abundant number, since it is smaller than the sum of its proper divisors (5547835500).

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

2210001300 is a wasteful number, since it uses less digits than its factorization.

2210001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2210001300 is about 47010.6509208286. The cubic root of 2210001300 is about 1302.5593171262.

Adding to 2210001300 its reverse (31000122), we get a palindrome (2241001422).

The spelling of 2210001300 in words is "two billion, two hundred ten million, one thousand, three hundred".