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2230461541 = 711411793947
BaseRepresentation
bin1000010011110010…
…0010010001100101
312202110000012000201
42010330202101211
514031444232131
61005154310501
7106162416220
oct20474422145
95673005021
102230461541
11a45045850
12522b88431
13297138739
1417232a5b7
15d0c37761
hex84f22465

2230461541 has 32 divisors (see below), whose sum is σ = 2865300480. Its totient is φ = 1685731200.

The previous prime is 2230461539. The next prime is 2230461577. The reversal of 2230461541 is 1451640322.

It is a cyclic number.

It is not a de Polignac number, because 2230461541 - 21 = 2230461539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230461511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563130 + ... + 567076.

It is an arithmetic number, because the mean of its divisors is an integer number (89540640).

Almost surely, 22230461541 is an apocalyptic number.

It is an amenable number.

2230461541 is a deficient number, since it is larger than the sum of its proper divisors (634838939).

2230461541 is a wasteful number, since it uses less digits than its factorization.

2230461541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2230461541 is about 47227.7623967090. The cubic root of 2230461541 is about 1306.5666833624.

It can be divided in two parts, 22304 and 61541, that added together give a triangular number (83845 = T409).

The spelling of 2230461541 in words is "two billion, two hundred thirty million, four hundred sixty-one thousand, five hundred forty-one".

Divisors: 1 7 11 41 77 179 287 451 1253 1969 3157 3947 7339 13783 27629 43417 51373 80729 161827 303919 565103 706513 1132789 1780097 4945591 7771643 12460679 28967033 54401501 202769231 318637363 2230461541