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222000002120 = 23513239782721
BaseRepresentation
bin1100111011000000111…
…0110011010001001000
3210020000120011120212202
43032300032303101020
512114124000031440
6245552502255332
722016236611611
oct3166016632110
9706016146782
10222000002120
1186171239436
1237037427548
1317c1c172100
14aa5dc62c08
155b94aa3615
hex33b03b3448

222000002120 has 96 divisors (see below), whose sum is σ = 542247673320. Its totient is φ = 81761771520.

The previous prime is 222000002083. The next prime is 222000002149. The reversal of 222000002120 is 21200000222.

It can be written as a sum of positive squares in 12 ways, for example, as 7058352196 + 214941649924 = 84014^2 + 463618^2 .

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 23 ways as a sum of consecutive naturals, for example, 2642360 + ... + 2725080.

Almost surely, 2222000002120 is an apocalyptic number.

222000002120 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 222000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271123836660).

222000002120 is an abundant number, since it is smaller than the sum of its proper divisors (320247671200).

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

222000002120 is a wasteful number, since it uses less digits than its factorization.

222000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83155 (or 83138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222000002120 its reverse (21200000222), we get a palindrome (243200002342).

The spelling of 222000002120 in words is "two hundred twenty-two billion, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 397 520 676 794 845 1352 1588 1690 1985 3176 3380 3970 5161 6760 7940 10322 15880 20644 25805 41288 51610 67093 82721 103220 134186 165442 206440 268372 330884 335465 413605 536744 661768 670930 827210 1075373 1341860 1654420 2150746 2683720 3308840 4301492 5376865 8602984 10753730 13979849 21507460 27959698 32840237 43014920 55919396 65680474 69899245 111838792 131360948 139798490 164201185 262721896 279596980 328402370 426923081 559193960 656804740 853846162 1313609480 1707692324 2134615405 3415384648 4269230810 5550000053 8538461620 11100000106 17076923240 22200000212 27750000265 44400000424 55500000530 111000001060 222000002120