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2313102240 = 253251606321
BaseRepresentation
bin1000100111011111…
…0010001110100000
312222012111202202100
42021313302032200
514214123232430
61021305450400
7111215021211
oct21167621640
95865452670
102313102240
11a8775aa49
125467a0a00
132ab2b1a67
1417d2bd408
15d810d960
hex89df23a0

2313102240 has 72 divisors (see below), whose sum is σ = 7893466308. Its totient is φ = 616826880.

The previous prime is 2313102223. The next prime is 2313102251. The reversal of 2313102240 is 422013132.

It can be written as a sum of positive squares in 2 ways, for example, as 2268426384 + 44675856 = 47628^2 + 6684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801721 + ... + 804600.

Almost surely, 22313102240 is an apocalyptic number.

2313102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313102240 is an abundant number, since it is smaller than the sum of its proper divisors (5580364068).

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

2313102240 is a wasteful number, since it uses less digits than its factorization.

2313102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606342 (or 1606331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2313102240 is about 48094.7215398946. The cubic root of 2313102240 is about 1322.5079043223.

Adding to 2313102240 its reverse (422013132), we get a palindrome (2735115372).

The spelling of 2313102240 in words is "two billion, three hundred thirteen million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1606321 3212642 4818963 6425284 8031605 9637926 12850568 14456889 16063210 19275852 24094815 25701136 28913778 32126420 38551704 48189630 51402272 57827556 64252840 72284445 77103408 96379260 115655112 128505680 144568890 154206816 192758520 231310224 257011360 289137780 385517040 462620448 578275560 771034080 1156551120 2313102240