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2122002330 = 235723594021
BaseRepresentation
bin111111001111011…
…0010111110011010
312110212220212221220
41332132302332122
513321213033310
6550321512510
7103404502500
oct17636627632
95425825856
102122002330
119998a6838
124b27a2736
1327a8227a6
14161b76670
15c6461670
hex7e7b2f9a

2122002330 has 96 divisors (see below), whose sum is σ = 5942263680. Its totient is φ = 483557760.

The previous prime is 2122002329. The next prime is 2122002341. The reversal of 2122002330 is 332002212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525720 + ... + 529740.

It is an arithmetic number, because the mean of its divisors is an integer number (61898580).

Almost surely, 22122002330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971131840).

2122002330 is an abundant number, since it is smaller than the sum of its proper divisors (3820261350).

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

2122002330 is a wasteful number, since it uses less digits than its factorization.

2122002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2122002330 is about 46065.1965153737. The cubic root of 2122002330 is about 1285.0359732948.

Adding to 2122002330 its reverse (332002212), we get a palindrome (2454004542).

The spelling of 2122002330 in words is "two billion, one hundred twenty-two million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 359 490 718 735 1077 1470 1795 2154 2513 3590 4021 5026 5385 7539 8042 10770 12063 12565 15078 17591 20105 24126 25130 28147 35182 37695 40210 52773 56294 60315 75390 84441 87955 105546 120630 140735 168882 175910 197029 263865 281470 394058 422205 527730 591087 844410 985145 1182174 1443539 1970290 2887078 2955435 4330617 5910870 7217695 8661234 10104773 14435390 20209546 21653085 30314319 43306170 50523865 60628638 70733411 101047730 141466822 151571595 212200233 303143190 353667055 424400466 707334110 1061001165 2122002330