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244345500225 = 32522114951349
BaseRepresentation
bin1110001110010000100…
…0000111001001000001
3212100200212011111122200
43203210020013021001
513000404422001400
6304130100023413
723440052324451
oct3434410071101
9770625144580
10244345500225
1194698734942
123b432991b69
131a070762138
14bb7d85bd61
1565516cbb00
hex38e4207241

244345500225 has 36 divisors (see below), whose sum is σ = 437679157500. Its totient is φ = 130308900480.

The previous prime is 244345500211. The next prime is 244345500239. The reversal of 244345500225 is 522005543442.

244345500225 is a `hidden beast` number, since 2 + 44 + 345 + 50 + 0 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (244345500211) and next prime (244345500239).

It can be written as a sum of positive squares in 6 ways, for example, as 82249077681 + 162096422544 = 286791^2 + 402612^2 .

It is not a de Polignac number, because 244345500225 - 27 = 244345500097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 244345500225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4732851 + ... + 4784199.

It is an arithmetic number, because the mean of its divisors is an integer number (12157754375).

Almost surely, 2244345500225 is an apocalyptic number.

244345500225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

244345500225 is a deficient number, since it is larger than the sum of its proper divisors (193333657275).

244345500225 is a wasteful number, since it uses less digits than its factorization.

244345500225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72514 (or 72506 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 244345500225 in words is "two hundred forty-four billion, three hundred forty-five million, five hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 21149 51349 63447 105745 154047 190341 256745 317235 462141 528725 770235 951705 1283725 1586175 2310705 3851175 4758525 11553525 1085980001 3257940003 5429900005 9773820009 16289700015 27149500025 48869100045 81448500075 244345500225