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244965105 = 32571126427
BaseRepresentation
bin11101001100111…
…01111011110001
3122001221111221200
432212131323301
51000202340410
640150241413
76033111660
oct1646357361
9561844850
10244965105
11116304a00
126a056269
133b99ba88
1424768dd7
151678c3c0
hexe99def1

244965105 has 72 divisors (see below), whose sum is σ = 533472576. Its totient is φ = 101787840.

The previous prime is 244965103. The next prime is 244965107. The reversal of 244965105 is 501569442.

It is an interprime number because it is at equal distance from previous prime (244965103) and next prime (244965107).

It is not a de Polignac number, because 244965105 - 21 = 244965103 is a prime.

It is a super-2 number, since 2×2449651052 = 120015805335322050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 244965105.

It is not an unprimeable number, because it can be changed into a prime (244965101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34902 + ... + 41328.

Almost surely, 2244965105 is an apocalyptic number.

It is an amenable number.

244965105 is an abundant number, since it is smaller than the sum of its proper divisors (288507471).

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

244965105 is a wasteful number, since it uses less digits than its factorization.

244965105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 244965105 is about 15651.3611229184. The cubic root of 244965105 is about 625.7027657629.

The spelling of 244965105 in words is "two hundred forty-four million, nine hundred sixty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 693 847 1089 1155 1815 2541 3465 4235 5445 6427 7623 12705 19281 32135 38115 44989 57843 70697 96405 134967 212091 224945 289215 353485 404901 494879 636273 674835 777667 1060455 1484637 2024505 2333001 2474395 3181365 3888335 4453911 5443669 6999003 7423185 11665005 16331007 22269555 27218345 34995015 48993021 81655035 244965105