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22457884050625 = 541895592
BaseRepresentation
bin1010001101100111000100…
…01100111000010011000001
32221111221201112221011111111
411012303202030320103001
510420422221304110000
6115433002015243321
74505346205523032
oct506634214702301
987457645834444
1022457884050625
117179376086191
1226285a3b19541
13c6ba0042cc6a
14578d78724a89
1528e2ab346cba
hex146ce23384c1

22457884050625 has 15 divisors (see below), whose sum is σ = 28063519956021. Its totient is φ = 17966212461000.

The previous prime is 22457884050583. The next prime is 22457884050629. The reversal of 22457884050625 is 52605048875422.

The square root of 22457884050625 is 4738975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1760698109569 + 20697185941056 = 1326913^2 + 4549416^2 .

It is not a de Polignac number, because 22457884050625 - 29 = 22457884050113 is a prime.

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 22457884050625.

It is not an unprimeable number, because it can be changed into a prime (22457884050629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 118379596 + ... + 118569154.

Almost surely, 222457884050625 is an apocalyptic number.

22457884050625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22457884050625 is the 4738975-th square number.

22457884050625 is the 2369488-th centered octagonal number.

It is an amenable number.

22457884050625 is a deficient number, since it is larger than the sum of its proper divisors (5605635905396).

22457884050625 is an frugal number, since it uses more digits than its factorization.

22457884050625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379138 (or 189564 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 58.

The spelling of 22457884050625 in words is "twenty-two trillion, four hundred fifty-seven billion, eight hundred eighty-four million, fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 189559 947795 4738975 23694875 118474375 35932614481 179663072405 898315362025 4491576810125 22457884050625