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22102110752 = 254126412
BaseRepresentation
bin10100100101011000…
…110111001000100000
32010001100000120002112
4110211120313020200
5330231120021002
614053100534452
71411465561451
oct244530671040
963040016075
1022102110752
119412079a37
124349b51428
132113054457
1410d9561128
1589559d852
hex525637220

22102110752 has 54 divisors (see below), whose sum is σ = 44670410127. Its totient is φ = 10764697600.

The previous prime is 22102110743. The next prime is 22102110769. The reversal of 22102110752 is 25701120122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8942350096 + 13159760656 = 94564^2 + 114716^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105124.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34480352 + ... + 34480992.

Almost surely, 222102110752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102110752

22102110752 is an abundant number, since it is smaller than the sum of its proper divisors (22568299375).

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

22102110752 is an frugal number, since it uses more digits than its factorization.

22102110752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 22102110752 its reverse (25701120122), we get a palindrome (47803230874).

The spelling of 22102110752 in words is "twenty-two billion, one hundred two million, one hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 641 656 1282 1312 1681 2564 3362 5128 6724 10256 13448 20512 26281 26896 52562 53792 105124 210248 410881 420496 821762 840992 1077521 1643524 2155042 3287048 4310084 6574096 8620168 13148192 16846121 17240336 33692242 34480672 67384484 134768968 269537936 539075872 690690961 1381381922 2762763844 5525527688 11051055376 22102110752