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22222221440 = 27560757203
BaseRepresentation
bin10100101100100011…
…000011000010000000
32010100201000210222112
4110230203003002000
5331002342041230
614113031154452
71414454523416
oct245443030200
963321023875
1022222221440
119473956971
124382215a28
132131bb9873
14110b4a92b6
158a0dc6d95
hex52c8c3080

22222221440 has 64 divisors (see below), whose sum is σ = 53213448960. Its totient is φ = 8874089472.

The previous prime is 22222221433. The next prime is 22222221467. The reversal of 22222221440 is 4412222222.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359879 + ... + 417081.

It is an arithmetic number, because the mean of its divisors is an integer number (831460140).

Almost surely, 222222221440 is an apocalyptic number.

22222221440 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 22222221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26606724480).

22222221440 is an abundant number, since it is smaller than the sum of its proper divisors (30991227520).

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

22222221440 is an equidigital number, since it uses as much as digits as its factorization.

22222221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57829 (or 57817 counting only the distinct ones).

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

Adding to 22222221440 its reverse (4412222222), we get a palindrome (26634443662).

The spelling of 22222221440 in words is "twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 607 640 1214 2428 3035 4856 6070 9712 12140 19424 24280 38848 48560 57203 77696 97120 114406 194240 228812 286015 388480 457624 572030 915248 1144060 1830496 2288120 3660992 4576240 7321984 9152480 18304960 34722221 36609920 69444442 138888884 173611105 277777768 347222210 555555536 694444420 1111111072 1388888840 2222222144 2777777680 4444444288 5555555360 11111110720 22222221440