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2225126007 = 3213232928513
BaseRepresentation
bin1000010010100000…
…1011101001110111
312202001222010001100
42010220023221313
514024113013012
61004444101143
7106066154556
oct20450135167
95661863040
102225126007
11a42031115
125212347b3
13295cbb010
1417173bd9d
15d05318dc
hex84a0ba77

2225126007 has 48 divisors (see below), whose sum is σ = 3736474560. Its totient is φ = 1264564224.

The previous prime is 2225125997. The next prime is 2225126011. The reversal of 2225126007 is 7006215222.

2225126007 is a `hidden beast` number, since 2 + 2 + 2 + 51 + 2 + 600 + 7 = 666.

It is not a de Polignac number, because 2225126007 - 27 = 2225125879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225126027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63783 + ... + 92295.

It is an arithmetic number, because the mean of its divisors is an integer number (77843220).

Almost surely, 22225126007 is an apocalyptic number.

2225126007 is a deficient number, since it is larger than the sum of its proper divisors (1511348553).

2225126007 is a wasteful number, since it uses less digits than its factorization.

2225126007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28584 (or 28581 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2225126007 is about 47171.2413129017. The cubic root of 2225126007 is about 1305.5240296471.

The spelling of 2225126007 in words is "two billion, two hundred twenty-five million, one hundred twenty-six thousand, seven".

Divisors: 1 3 9 13 23 29 39 69 87 117 207 261 299 377 667 897 1131 2001 2691 3393 6003 8671 26013 28513 78039 85539 256617 370669 655799 826877 1112007 1967397 2480631 3336021 5902191 7441893 8525387 10749401 19018171 25576161 32248203 57054513 76728483 96744609 171163539 247236223 741708669 2225126007