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2247007026 = 2311225712043
BaseRepresentation
bin1000010111101110…
…1001101100110010
312210121010210011110
42011323221230302
514100213211101
61010545054150
7106453146615
oct20573515462
95717123143
102247007026
11a53416700
12528627356
1329a6ac674
141745d617c
15d2404cd6
hex85ee9b32

2247007026 has 48 divisors (see below), whose sum is σ = 4959333792. Its totient is φ = 678205440.

The previous prime is 2247007001. The next prime is 2247007093. The reversal of 2247007026 is 6207007422.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2247006984 and 2247007002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180561 + ... + 192603.

It is an arithmetic number, because the mean of its divisors is an integer number (103319454).

Almost surely, 22247007026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2247007026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479666896).

2247007026 is an abundant number, since it is smaller than the sum of its proper divisors (2712326766).

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

2247007026 is a wasteful number, since it uses less digits than its factorization.

2247007026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2247007026 is about 47402.6056878733. The cubic root of 2247007026 is about 1309.7894162600.

The spelling of 2247007026 in words is "two billion, two hundred forty-seven million, seven thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 257 363 514 726 771 1542 2827 5654 8481 12043 16962 24086 31097 36129 62194 72258 93291 132473 186582 264946 397419 794838 1457203 2914406 3095051 4371609 6190102 8743218 9285153 18570306 34045561 68091122 102136683 204273366 374501171 749002342 1123503513 2247007026