Search a number
-
+
12202240204 = 22711434719603
BaseRepresentation
bin10110101110100111…
…10110100011001100
31011111101200000202101
423113103312203030
5144442233141304
65334452204444
7611245221220
oct132723664314
934441600671
1012202240204
1151a1934740
122446609724
1311c602469b
1483a824780
154b63bd8a4
hex2d74f68cc

12202240204 has 96 divisors (see below), whose sum is σ = 27823251456. Its totient is φ = 4544527680.

The previous prime is 12202240201. The next prime is 12202240207. The reversal of 12202240204 is 40204220221.

It is an interprime number because it is at equal distance from previous prime (12202240201) and next prime (12202240207).

It is a super-2 number, since 2×122022402042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12202240201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612667 + ... + 632269.

It is an arithmetic number, because the mean of its divisors is an integer number (289825536).

Almost surely, 212202240204 is an apocalyptic number.

12202240204 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 12202240204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911625728).

12202240204 is an abundant number, since it is smaller than the sum of its proper divisors (15621011252).

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

12202240204 is a wasteful number, since it uses less digits than its factorization.

12202240204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19715 (or 19713 counting only the distinct ones).

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

Adding to 12202240204 its reverse (40204220221), we get a palindrome (52406460425).

The spelling of 12202240204 in words is "twelve billion, two hundred two million, two hundred forty thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 43 44 47 77 86 94 154 172 188 301 308 329 473 517 602 658 946 1034 1204 1316 1892 2021 2068 3311 3619 4042 6622 7238 8084 13244 14147 14476 19603 22231 28294 39206 44462 56588 78412 88924 137221 155617 215633 274442 311234 431266 548884 622468 842929 862532 921341 1509431 1685858 1842682 3018862 3371716 3685364 5900503 6037724 6449387 9272219 10134751 11801006 12898774 18544438 20269502 23602012 25797548 37088876 39617663 40539004 64905533 70943257 79235326 129811066 141886514 158470652 259622132 277323641 283773028 435794293 554647282 871588586 1109294564 1743177172 3050560051 6101120102 12202240204