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2266341840 = 243257449671
BaseRepresentation
bin1000011100010101…
…1010000111010000
312211221112002112200
42013011122013100
514120140414330
61012515323200
7110106405420
oct20705320720
95757462480
102266341840
11a63322194
12532bb0500
132a16bc099
14176dca480
15d3e73a60
hex8715a1d0

2266341840 has 120 divisors (see below), whose sum is σ = 8698455168. Its totient is φ = 518019840.

The previous prime is 2266341839. The next prime is 2266341901. The reversal of 2266341840 is 481436622.

2266341840 is a `hidden beast` number, since 2 + 2 + 6 + 634 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2266341795 and 2266341804.

It is a congruent number.

It is an unprimeable number.

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, 219796 + ... + 229875.

Almost surely, 22266341840 is an apocalyptic number.

2266341840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266341840 is an abundant number, since it is smaller than the sum of its proper divisors (6432113328).

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

2266341840 is a wasteful number, since it uses less digits than its factorization.

2266341840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449697 (or 449688 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2266341840 is about 47606.1113723858. Note that the first 3 decimals coincide. The cubic root of 2266341840 is about 1313.5354723924.

The spelling of 2266341840 in words is "two billion, two hundred sixty-six million, three hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 449671 899342 1349013 1798684 2248355 2698026 3147697 3597368 4047039 4496710 5396052 6295394 6745065 7194736 8094078 8993420 9443091 10792104 12590788 13490130 15738485 16188156 17986840 18886182 20235195 21584208 25181576 26980260 28329273 31476970 32376312 35973680 37772364 40470390 47215455 50363152 53960520 56658546 62953940 64752624 75544728 80940780 94430910 107921040 113317092 125907880 141646365 151089456 161881560 188861820 226634184 251815760 283292730 323763120 377723640 453268368 566585460 755447280 1133170920 2266341840