Search a number
-
+
22005123520 = 265107642673
BaseRepresentation
bin10100011111100110…
…111000100111000000
32002210120112002121211
4110133212320213000
5330031302423040
614035314055504
71406210315032
oct243746704700
962716462554
1022005123520
119372355aa6
12432157a594
1320c8c27063
1410ca715c52
1588bce18ea
hex51f9b89c0

22005123520 has 56 divisors (see below), whose sum is σ = 52889499504. Its totient is φ = 8719773696.

The previous prime is 22005123509. The next prime is 22005123521. The reversal of 22005123520 is 2532150022.

It is a super-2 number, since 2×220051235202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22005123491 and 22005123500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005123521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 287097 + ... + 355576.

Almost surely, 222005123520 is an apocalyptic number.

22005123520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22005123520 is an abundant number, since it is smaller than the sum of its proper divisors (30884375984).

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

22005123520 is a wasteful number, since it uses less digits than its factorization.

22005123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642797 (or 642787 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 22005123520 its reverse (2532150022), we get a palindrome (24537273542).

The spelling of 22005123520 in words is "twenty-two billion, five million, one hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240 642673 1285346 2570692 3213365 5141384 6426730 10282768 12853460 20565536 25706920 41131072 51413840 68766011 102827680 137532022 205655360 275064044 343830055 550128088 687660110 1100256176 1375320220 2200512352 2750640440 4401024704 5501280880 11002561760 22005123520