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22424224240 = 2451128039091
BaseRepresentation
bin10100111000100101…
…101000000111110000
32010212210010121201201
4110320211220013300
5331411100133430
614145044540544
71422456522025
oct247045500760
963783117651
1022424224240
119567987630
1244199b1754
1321649c5652
14112a24d54c
158b39c98ca
hex5389681f0

22424224240 has 80 divisors (see below), whose sum is σ = 56902536576. Its totient is φ = 8150457600.

The previous prime is 22424224217. The next prime is 22424224247. The reversal of 22424224240 is 4242242422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22424224199 and 22424224208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424224247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2462095 + ... + 2471185.

Almost surely, 222424224240 is an apocalyptic number.

22424224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424224240 is an abundant number, since it is smaller than the sum of its proper divisors (34478312336).

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

22424224240 is a wasteful number, since it uses less digits than its factorization.

22424224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22424224240 its reverse (4242242422), we get a palindrome (26666466662).

It can be divided in two parts, 2 and 2424224240, that added together give a palindrome (2424224242).

The spelling of 22424224240 in words is "twenty-two billion, four hundred twenty-four million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2803 5606 9091 11212 14015 18182 22424 28030 30833 36364 44848 45455 56060 61666 72728 90910 100001 112120 123332 145456 154165 181820 200002 224240 246664 308330 363640 400004 493328 500005 616660 727280 800008 1000010 1233320 1600016 2000020 2466640 4000040 8000080 25482073 50964146 101928292 127410365 203856584 254820730 280302803 407713168 509641460 560605606 1019282920 1121211212 1401514015 2038565840 2242422424 2803028030 4484844848 5606056060 11212112120 22424224240