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10320222222 = 23223531932437
BaseRepresentation
bin10011001110010001…
…00001100000001110
3222122020022121102200
421213020201200032
5132113434102342
64424022102330
7513513304302
oct114710414016
928566277380
1010320222222
114416550782
12200027a9a6
13c8614888b
146dc8bbd02
1540606394c
hex26722180e

10320222222 has 96 divisors (see below), whose sum is σ = 23905896768. Its totient is φ = 3210375168.

The previous prime is 10320222179. The next prime is 10320222233. The reversal of 10320222222 is 22222202301.

It is a super-2 number, since 2×103202222222 (a number of 21 digits) contains 22 as substring.

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

10320222222 is a modest number, since divided by 222222 gives 10320 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10320222195 and 10320222204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233588 + ... + 4236024.

It is an arithmetic number, because the mean of its divisors is an integer number (249019758).

Almost surely, 210320222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952948384).

10320222222 is an abundant number, since it is smaller than the sum of its proper divisors (13585674546).

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

10320222222 is a wasteful number, since it uses less digits than its factorization.

10320222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10320222222 its reverse (22222202301), we get a palindrome (32542424523).

The spelling of 10320222222 in words is "ten billion, three hundred twenty million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 193 207 318 386 414 477 579 954 1158 1219 1737 2437 2438 3474 3657 4439 4874 7311 7314 8878 10229 10971 13317 14622 20458 21933 21942 26634 30687 39951 43866 56051 61374 79902 92061 112102 129161 168153 184122 235267 258322 336306 387483 470341 470534 504459 705801 774966 940682 1008918 1162449 1411023 1411602 2117403 2324898 2822046 2970703 4233069 4234806 5941406 8466138 8912109 10817843 17824218 21635686 24928073 26736327 32453529 49856146 53472654 64907058 74784219 97360587 149568438 194721174 224352657 448705314 573345679 1146691358 1720037037 3440074074 5160111111 10320222222