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2240246460264 = 233833113616147
BaseRepresentation
bin100000100110011001000…
…110000010111101101000
321221011110121221112212220
4200212121012002331220
5243201011043212024
64433053252234040
7320565252502641
oct40463106027550
97834417845786
102240246460264
117940a07a629a
1230221200b920
1313333ca09277
147a5ddb766c8
153d4198bde79
hex20999182f68

2240246460264 has 64 divisors (see below), whose sum is σ = 5686320407040. Its totient is φ = 735379450560.

The previous prime is 2240246460229. The next prime is 2240246460343. The reversal of 2240246460264 is 4620646420422.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1188562 + ... + 2427585.

It is an arithmetic number, because the mean of its divisors is an integer number (88848756360).

Almost surely, 22240246460264 is an apocalyptic number.

2240246460264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240246460264 is an abundant number, since it is smaller than the sum of its proper divisors (3446073946776).

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

2240246460264 is a wasteful number, since it uses less digits than its factorization.

2240246460264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616550 (or 3616546 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 2240246460264 in words is "two trillion, two hundred forty billion, two hundred forty-six million, four hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 311 332 498 622 664 933 996 1244 1866 1992 2488 3732 7464 25813 51626 77439 103252 154878 206504 309756 619512 3616147 7232294 10848441 14464588 21696882 28929176 43393764 86787528 300140201 600280402 900420603 1124621717 1200560804 1800841206 2249243434 2401121608 3373865151 3601682412 4498486868 6747730302 7203364824 8996973736 13495460604 26990921208 93343602511 186687205022 280030807533 373374410044 560061615066 746748820088 1120123230132 2240246460264