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22120044440 = 23513317134191
BaseRepresentation
bin10100100110011101…
…010001011110011000
32010002120202200111012
4110212131101132120
5330300212410230
614054541153052
71412104163324
oct244635213630
963076680435
1022120044440
11942120886a
124353b5b788
1321169931c0
1410dbaac984
15896e42395
hex526751798

22120044440 has 64 divisors (see below), whose sum is σ = 53768050560. Its totient is φ = 8141575680.

The previous prime is 22120044433. The next prime is 22120044461. The reversal of 22120044440 is 4444002122.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 97745 + ... + 231935.

It is an arithmetic number, because the mean of its divisors is an integer number (840125790).

Almost surely, 222120044440 is an apocalyptic number.

22120044440 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 22120044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26884025280).

22120044440 is an abundant number, since it is smaller than the sum of its proper divisors (31648006120).

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

22120044440 is a wasteful number, since it uses less digits than its factorization.

22120044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134532 (or 134528 counting only the distinct ones).

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

Adding to 22120044440 its reverse (4444002122), we get a palindrome (26564046562).

The spelling of 22120044440 in words is "twenty-two billion, one hundred twenty million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 317 520 634 1268 1585 2536 3170 4121 6340 8242 12680 16484 20605 32968 41210 82420 134191 164840 268382 536764 670955 1073528 1341910 1744483 2683820 3488966 5367640 6977932 8722415 13955864 17444830 34889660 42538547 69779320 85077094 170154188 212692735 340308376 425385470 553001111 850770940 1106002222 1701541880 2212004444 2765005555 4424008888 5530011110 11060022220 22120044440