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2255142645 = 325773101971
BaseRepresentation
bin1000011001101010…
…1011111011110101
312211011110010010200
42012122223323311
514104304031040
61011435311113
7106612252620
oct20632537365
95734403120
102255142645
11a57a73058
1252b2ab499
1329c29a742
14175712db7
15d2eb0630
hex866abef5

2255142645 has 96 divisors (see below), whose sum is σ = 4578073344. Its totient is φ = 1005696000.

The previous prime is 2255142641. The next prime is 2255142649. The reversal of 2255142645 is 5462415522.

2255142645 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 1 + 4 + 2 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (2255142641) and next prime (2255142649).

It is not a de Polignac number, because 2255142645 - 22 = 2255142641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255142641) 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 95 ways as a sum of consecutive naturals, for example, 2322010 + ... + 2322980.

It is an arithmetic number, because the mean of its divisors is an integer number (47688264).

Almost surely, 22255142645 is an apocalyptic number.

It is an amenable number.

2255142645 is an abundant number, since it is smaller than the sum of its proper divisors (2322930699).

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

2255142645 is a wasteful number, since it uses less digits than its factorization.

2255142645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1160 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2255142645 is about 47488.3422010076. The cubic root of 2255142645 is about 1311.3682739537.

The spelling of 2255142645 in words is "two billion, two hundred fifty-five million, one hundred forty-two thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 101 105 219 303 315 365 505 511 657 707 909 971 1095 1515 1533 2121 2555 2913 3285 3535 4545 4599 4855 6363 6797 7373 7665 8739 10605 14565 20391 22119 22995 31815 33985 36865 43695 51611 61173 66357 70883 98071 101955 110595 154833 212649 258055 294213 305865 331785 354415 464499 490355 496181 637947 686497 774165 882639 1063245 1471065 1488543 2059491 2322495 2480905 3189735 3432485 4413195 4465629 6178473 7159183 7442715 10297455 21477549 22328145 30892365 35795915 50114281 64432647 107387745 150342843 250571405 322163235 451028529 751714215 2255142645