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22148810450 = 25213216192
BaseRepresentation
bin10100101000001011…
…000000011011010010
32010011120220011000222
4110220023000123102
5330330043413300
614101445513042
71412603532254
oct245013003322
963146804028
1022148810450
119436476128
124361712782
13211c925600
141101839cd4
15899725785
hex5282c06d2

22148810450 has 54 divisors (see below), whose sum is σ = 44637109839. Its totient is φ = 8172971040.

The previous prime is 22148810443. The next prime is 22148810461. The reversal of 22148810450 is 5401884122.

It can be written as a sum of positive squares in 5 ways, for example, as 1386594169 + 20762216281 = 37237^2 + 144091^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105235.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22148810450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13679741 + ... + 13681359.

Almost surely, 222148810450 is an apocalyptic number.

22148810450 is an abundant number, since it is smaller than the sum of its proper divisors (22488299389).

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

22148810450 is an equidigital number, since it uses as much as digits as its factorization.

22148810450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 22148810450 in words is "twenty-two billion, one hundred forty-eight million, eight hundred ten thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 169 325 338 650 845 1619 1690 3238 4225 8095 8450 16190 21047 40475 42094 80950 105235 210470 273611 526175 547222 1052350 1368055 2621161 2736110 5242322 6840275 13105805 13680550 26211610 34075093 65529025 68150186 131058050 170375465 340750930 442976209 851877325 885952418 1703754650 2214881045 4429762090 11074405225 22148810450