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2122220022210 = 2325972273106949
BaseRepresentation
bin11110111000011110001…
…010111010100111000010
321111212211011101021102100
4132320132022322213002
5234232301311202320
64302533500131230
7306216406360311
oct36703612724702
97455734337370
102122220022210
11749034970502
122a3373236b16
13125180670642
1474a049a6278
153a30cd07790
hex1ee1e2ba9c2

2122220022210 has 96 divisors (see below), whose sum is σ = 5577161007600. Its totient is φ = 559839412224.

The previous prime is 2122220022203. The next prime is 2122220022211. The reversal of 2122220022210 is 122200222212.

2122220022210 is a `hidden beast` number, since 21 + 222 + 200 + 2 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1377076433121 + 745143589089 = 1173489^2 + 863217^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2122220022211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19789816 + ... + 19896764.

Almost surely, 22122220022210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122220022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788580503800).

2122220022210 is an abundant number, since it is smaller than the sum of its proper divisors (3454940985390).

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

2122220022210 is a wasteful number, since it uses less digits than its factorization.

2122220022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109332 (or 109329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122220022210 its reverse (122200222212), we get a palindrome (2244420244422).

The spelling of 2122220022210 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2273 2910 4365 4546 6819 8730 11365 13638 20457 22730 34095 40914 68190 102285 106949 204570 213898 220481 320847 440962 534745 641694 661443 962541 1069490 1102405 1322886 1604235 1925082 1984329 2204810 3208470 3307215 3968658 4812705 6614430 9625410 9921645 10374053 19843290 20748106 31122159 51870265 62244318 93366477 103740530 155610795 186732954 243095077 311221590 466832385 486190154 729285231 933664770 1215475385 1458570462 2187855693 2430950770 3646426155 4375711386 7292852310 10939278465 21878556930 23580222469 47160444938 70740667407 117901112345 141481334814 212222002221 235802224690 353703337035 424444004442 707406674070 1061110011105 2122220022210