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2210001330 = 235612415011
BaseRepresentation
bin1000001110111001…
…1111000110110010
312201000111200220010
42003232133012302
514011230020310
61003143555350
7105523462365
oct20356370662
95630450803
102210001330
11a34540789
1251815bb56
13292b239c4
1416d7220dc
15ce045320
hex83b9f1b2

2210001330 has 64 divisors (see below), whose sum is σ = 5414403456. Its totient is φ = 577152000.

The previous prime is 2210001329. The next prime is 2210001371. The reversal of 2210001330 is 331000122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438525 + ... + 443535.

It is an arithmetic number, because the mean of its divisors is an integer number (84600054).

Almost surely, 22210001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707201728).

2210001330 is an abundant number, since it is smaller than the sum of its proper divisors (3204402126).

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

2210001330 is a wasteful number, since it uses less digits than its factorization.

2210001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2210001330 is about 47010.6512399052. The cubic root of 2210001330 is about 1302.5593230202.

Adding to 2210001330 its reverse (331000122), we get a palindrome (2541001452).

The spelling of 2210001330 in words is "two billion, two hundred ten million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 241 305 366 482 610 723 915 1205 1446 1830 2410 3615 5011 7230 10022 14701 15033 25055 29402 30066 44103 50110 73505 75165 88206 147010 150330 220515 305671 441030 611342 917013 1207651 1528355 1834026 2415302 3056710 3622953 4585065 6038255 7245906 9170130 12076510 18114765 36229530 73666711 147333422 221000133 368333555 442000266 736667110 1105000665 2210001330