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22440424100 = 22521394673457
BaseRepresentation
bin10100111001100011…
…011011001010100100
32010220220121122202112
4110321203123022210
5331424222032400
614150424100152
71423044312653
oct247143331244
963826548675
1022440424100
119576041846
124423304658
132168178173
14112c46919a
158b5129835
hex5398db2a4

22440424100 has 72 divisors (see below), whose sum is σ = 49165290720. Its totient is φ = 8889937920.

The previous prime is 22440424093. The next prime is 22440424109. The reversal of 22440424100 is 142404422.

It is not an unprimeable number, because it can be changed into a prime (22440424109) 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 23 ways as a sum of consecutive naturals, for example, 6489572 + ... + 6493028.

It is an arithmetic number, because the mean of its divisors is an integer number (682851260).

Almost surely, 222440424100 is an apocalyptic number.

22440424100 is a gapful number since it is divisible by the number (20) 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 22440424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24582645360).

22440424100 is an abundant number, since it is smaller than the sum of its proper divisors (26724866620).

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

22440424100 is a wasteful number, since it uses less digits than its factorization.

22440424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 22440424100 its reverse (142404422), we get a palindrome (22582828522).

The spelling of 22440424100 in words is "twenty-two billion, four hundred forty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 467 556 695 934 1390 1868 2335 2780 3457 3475 4670 6914 6950 9340 11675 13828 13900 17285 23350 34570 46700 64913 69140 86425 129826 172850 259652 324565 345700 480523 649130 961046 1298260 1614419 1622825 1922092 2402615 3228838 3245650 4805230 6457676 6491300 8072095 9610460 12013075 16144190 24026150 32288380 40360475 48052300 80720950 161441900 224404241 448808482 897616964 1122021205 2244042410 4488084820 5610106025 11220212050 22440424100