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12202022224 = 247195997187
BaseRepresentation
bin10110101110100110…
…00001010101010000
31011111101020221202001
423113103001111100
5144442204202344
65334443403344
7611243322550
oct132723012520
934441227661
1012202022224
1151a17a5997
122446523554
1311c5c793c2
1483a7a9160
154b6378ed4
hex2d74c1550

12202022224 has 80 divisors (see below), whose sum is σ = 28923148800. Its totient is φ = 4870184832.

The previous prime is 12202022207. The next prime is 12202022233. The reversal of 12202022224 is 42222020221.

It is a super-3 number, since 3×122020222243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 76959 + ... + 174145.

It is an arithmetic number, because the mean of its divisors is an integer number (361539360).

Almost surely, 212202022224 is an apocalyptic number.

12202022224 is a gapful number since it is divisible by the number (14) 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 12202022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461574400).

12202022224 is an abundant number, since it is smaller than the sum of its proper divisors (16721126576).

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

12202022224 is a wasteful number, since it uses less digits than its factorization.

12202022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97280 (or 97274 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 12202022224 its reverse (42222020221), we get a palindrome (54424042445).

The spelling of 12202022224 in words is "twelve billion, two hundred two million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 304 413 472 532 826 944 1064 1121 1652 2128 2242 3304 4484 6608 7847 8968 15694 17936 31388 62776 97187 125552 194374 388748 680309 777496 1360618 1554992 1846553 2721236 3693106 5442472 5734033 7386212 10884944 11468066 12925871 14772424 22936132 25851742 29544848 40138231 45872264 51703484 80276462 91744528 103406968 108946627 160552924 206813936 217893254 321105848 435786508 642211696 762626389 871573016 1525252778 1743146032 3050505556 6101011112 12202022224