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12242272240 = 2451167720549
BaseRepresentation
bin10110110011011001…
…00011111111110000
31011121011222212101101
423121230203333300
5200033010202430
65342442214144
7612242411542
oct133154437760
934534885341
1012242272240
115212497370
122457ab4354
1312013cc993
14841c85692
154b9b79dca
hex2d9b23ff0

12242272240 has 80 divisors (see below), whose sum is σ = 31098232800. Its totient is φ = 4444943360.

The previous prime is 12242272183. The next prime is 12242272291. The reversal of 12242272240 is 4227224221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12242272199 and 12242272208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585486 + ... + 606034.

It is an arithmetic number, because the mean of its divisors is an integer number (388727910).

Almost surely, 212242272240 is an apocalyptic number.

12242272240 is a gapful number since it is divisible by the number (10) 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 12242272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549116400).

12242272240 is an abundant number, since it is smaller than the sum of its proper divisors (18855960560).

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

12242272240 is a wasteful number, since it uses less digits than its factorization.

12242272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21250 (or 21244 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

Adding to 12242272240 its reverse (4227224221), we get a palindrome (16469496461).

It can be divided in two parts, 12242 and 272240, that added together give a palindrome (284482).

The spelling of 12242272240 in words is "twelve billion, two hundred forty-two million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 677 880 1354 2708 3385 5416 6770 7447 10832 13540 14894 20549 27080 29788 37235 41098 54160 59576 74470 82196 102745 119152 148940 164392 205490 226039 297880 328784 410980 452078 595760 821960 904156 1130195 1643920 1808312 2260390 3616624 4520780 9041560 13911673 18083120 27823346 55646692 69558365 111293384 139116730 153028403 222586768 278233460 306056806 556466920 612113612 765142015 1112933840 1224227224 1530284030 2448454448 3060568060 6121136120 12242272240