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22441007316 = 22371328173133
BaseRepresentation
bin10100111001100101…
…101001100011010100
32010220221201021210010
4110321211221203110
5331424344213231
614150444400220
71423052262210
oct247145514324
963827637703
1022441007316
1195763aaa42
124423546070
132168320770
14112c57b940
158b51e2546
hex5399698d4

22441007316 has 96 divisors (see below), whose sum is σ = 64676199168. Its totient is φ = 5897364480.

The previous prime is 22441007299. The next prime is 22441007321. The reversal of 22441007316 is 61370014422.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 270286 + ... + 343418.

It is an arithmetic number, because the mean of its divisors is an integer number (673710408).

Almost surely, 222441007316 is an apocalyptic number.

22441007316 is a gapful number since it is divisible by the number (26) 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 22441007316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32338099584).

22441007316 is an abundant number, since it is smaller than the sum of its proper divisors (42235191852).

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

22441007316 is a wasteful number, since it uses less digits than its factorization.

22441007316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73441 (or 73439 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 22441007316 in words is "twenty-two billion, four hundred forty-one million, seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 281 364 546 562 843 1092 1124 1686 1967 3372 3653 3934 5901 7306 7868 10959 11802 14612 21918 23604 25571 43836 51142 73133 76713 102284 146266 153426 219399 292532 306852 438798 511931 877596 950729 1023862 1535793 1901458 2047724 2852187 3071586 3802916 5704374 6143172 6655103 11408748 13310206 19965309 20550373 26620412 39930618 41100746 61651119 79861236 82201492 123302238 143852611 246604476 267154849 287705222 431557833 534309698 575410444 801464547 863115666 1068619396 1602929094 1726231332 1870083943 3205858188 3740167886 5610251829 7480335772 11220503658 22441007316