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11242216722 = 23112171078513
BaseRepresentation
bin10100111100001011…
…01001110100010010
31002000111012210010010
422132011221310102
5141011001413342
65055315415350
7545410160022
oct123605516422
932014183103
1011242216722
114849a35900
122218bb4556
1310a2173459
14789121a82
1545be8729c
hex29e169d12

11242216722 has 96 divisors (see below), whose sum is σ = 26415740736. Its totient is φ = 3175997440.

The previous prime is 11242216703. The next prime is 11242216729. The reversal of 11242216722 is 22761224211.

It is a self number, because there is not a number n which added to its sum of digits gives 11242216722.

It is not an unprimeable number, because it can be changed into a prime (11242216729) 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, 1316338 + ... + 1324850.

It is an arithmetic number, because the mean of its divisors is an integer number (275163966).

Almost surely, 211242216722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242216722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207870368).

11242216722 is an abundant number, since it is smaller than the sum of its proper divisors (15173524014).

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

11242216722 is a wasteful number, since it uses less digits than its factorization.

11242216722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8664 (or 8653 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The spelling of 11242216722 in words is "eleven billion, two hundred forty-two million, two hundred sixteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 107 121 187 214 242 321 363 374 561 642 726 1122 1177 1819 2057 2354 3531 3638 4114 5457 6171 7062 8513 10914 12342 12947 17026 20009 25539 25894 38841 40018 51078 60027 77682 93643 120054 144721 187286 220099 280929 289442 434163 440198 561858 660297 868326 910891 1030073 1320594 1591931 1821782 2060146 2732673 3090219 3183862 4775793 5465346 6180438 9551586 10019801 15485147 17511241 20039602 30059403 30970294 35022482 46455441 52533723 60118806 92910882 105067446 110217811 170336617 220435622 330653433 340673234 511009851 661306866 1022019702 1873702787 3747405574 5621108361 11242216722