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2260240661 = 71741211299
BaseRepresentation
bin1000011010111000…
…1000100100010101
312211112001010022002
42012232020210111
514112110200121
61012140445045
7110003504630
oct20656104425
95745033262
102260240661
11a5a935298
12530b49785
132a0364013
1417627cc17
15d366ae0b
hex86b88915

2260240661 has 24 divisors (see below), whose sum is σ = 2803665600. Its totient is φ = 1778757120.

The previous prime is 2260240637. The next prime is 2260240663. The reversal of 2260240661 is 1660420622.

It is a de Polignac number, because none of the positive numbers 2k-2260240661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260240663) 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 23 ways as a sum of consecutive naturals, for example, 194390 + ... + 205688.

It is an arithmetic number, because the mean of its divisors is an integer number (116819400).

Almost surely, 22260240661 is an apocalyptic number.

It is an amenable number.

2260240661 is a deficient number, since it is larger than the sum of its proper divisors (543424939).

2260240661 is a wasteful number, since it uses less digits than its factorization.

2260240661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405 (or 11364 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2260240661 is about 47541.9883997293. The cubic root of 2260240661 is about 1312.3556978285.

The spelling of 2260240661 in words is "two billion, two hundred sixty million, two hundred forty thousand, six hundred sixty-one".

Divisors: 1 7 17 41 119 287 697 1681 4879 11299 11767 28577 79093 192083 200039 463259 1344581 3242813 7875403 18993619 55127821 132955333 322891523 2260240661