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22200414324 = 223111278871493
BaseRepresentation
bin10100101011001111…
…110111000001110100
32010022011222220020120
4110223033313001310
5330431301224244
614110531531540
71414101260004
oct245317670164
963264886216
1022200414324
119462611960
124376a59bb0
13212a522a4a
141108630004
1589e01a819
hex52b3f7074

22200414324 has 96 divisors (see below), whose sum is σ = 57057509376. Its totient is φ = 6662436480.

The previous prime is 22200414323. The next prime is 22200414349. The reversal of 22200414324 is 42341400222.

It is a junction number, because it is equal to n+sod(n) for n = 22200414294 and 22200414303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200414323) 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, 14868922 + ... + 14870414.

It is an arithmetic number, because the mean of its divisors is an integer number (594349056).

Almost surely, 222200414324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28528754688).

22200414324 is an abundant number, since it is smaller than the sum of its proper divisors (34857095052).

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

22200414324 is a wasteful number, since it uses less digits than its factorization.

22200414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22200414324 its reverse (42341400222), we get a palindrome (64541814546).

It can be divided in two parts, 222004 and 14324, that added together give a triangular number (236328 = T687).

The spelling of 22200414324 in words is "twenty-two billion, two hundred million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 887 1397 1493 1524 1774 2661 2794 2986 3548 4191 4479 5322 5588 5972 8382 8958 9757 10644 16423 16764 17916 19514 29271 32846 39028 49269 58542 65692 98538 112649 117084 189611 197076 225298 337947 379222 450596 568833 675894 758444 1137666 1239139 1324291 1351788 2085721 2275332 2478278 2648582 3717417 3972873 4171442 4956556 5297164 6257163 7434834 7945746 8342884 12514326 14567201 14869668 15891492 25028652 29134402 43701603 58268804 87403206 168184957 174806412 336369914 504554871 672739828 1009109742 1850034527 2018219484 3700069054 5550103581 7400138108 11100207162 22200414324