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22000001322 = 23133118614889
BaseRepresentation
bin10100011111010011…
…010110000100101010
32002210012212212021210
4110133103112010222
5330024000020242
614035012213550
71406115632355
oct243723260452
962705785253
1022000001322
11936a477682
12431b90a2b6
1320c7b52780
1410c9b8129c
1588b62dd9c
hex51f4d612a

22000001322 has 64 divisors (see below), whose sum is σ = 48949447680. Its totient is φ = 6546009600.

The previous prime is 22000001293. The next prime is 22000001341. The reversal of 22000001322 is 22310000022.

It is a junction number, because it is equal to n+sod(n) for n = 22000001298 and 22000001307.

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, 4497454 + ... + 4502342.

It is an arithmetic number, because the mean of its divisors is an integer number (764835120).

Almost surely, 222000001322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24474723840).

22000001322 is an abundant number, since it is smaller than the sum of its proper divisors (26949446358).

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

22000001322 is a wasteful number, since it uses less digits than its factorization.

22000001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22000001322 its reverse (22310000022), we get a palindrome (44310001344).

The spelling of 22000001322 in words is "twenty-two billion, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 1861 2418 3722 4889 5583 9778 11166 14667 24193 29334 48386 57691 63557 72579 115382 127114 145158 151559 173073 190671 303118 346146 381342 454677 749983 909354 1499966 1970267 2249949 3940534 4499898 5910801 9098429 11821602 18196858 27295287 54590574 118279577 236559154 282051299 354838731 564102598 709677462 846153897 1692307794 3666666887 7333333774 11000000661 22000001322