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2266374240 = 2532513121067
BaseRepresentation
bin1000011100010110…
…0010000001100000
312211221120201222200
42013011202001200
514120142433430
61012520133200
7110106602034
oct20705420140
95757521880
102266374240
11a63344569
12533007200
132a1700a60
14176dd81c4
15d3e7d460
hex87162060

2266374240 has 144 divisors (see below), whose sum is σ = 8328994128. Its totient is φ = 557872128.

The previous prime is 2266374239. The next prime is 2266374269. The reversal of 2266374240 is 424736622.

2266374240 is a `hidden beast` number, since 2 + 266 + 374 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2266374195 and 2266374204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41814 + ... + 79253.

It is an arithmetic number, because the mean of its divisors is an integer number (57840237).

Almost surely, 22266374240 is an apocalyptic number.

2266374240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266374240 is an abundant number, since it is smaller than the sum of its proper divisors (6062619888).

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

2266374240 is a wasteful number, since it uses less digits than its factorization.

2266374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121101 (or 121090 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2266374240 is about 47606.4516636138. The cubic root of 2266374240 is about 1313.5417318697.

The spelling of 2266374240 in words is "two billion, two hundred sixty-six million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 121067 242134 363201 484268 605335 726402 968536 1089603 1210670 1452804 1573871 1816005 1937072 2179206 2421340 2905608 3147742 3632010 3874144 4358412 4721613 4842680 5448015 5811216 6295484 7264020 7869355 8716824 9443226 9685360 10896030 11622432 12590968 14164839 14528040 15738710 17433648 18886452 19370720 21792060 23608065 25181936 28329678 29056080 31477420 34867296 37772904 43584120 47216130 50363872 56659356 58112160 62954840 70824195 75545808 87168240 94432260 113318712 125909680 141648390 151091616 174336480 188864520 226637424 251819360 283296780 377729040 453274848 566593560 755458080 1133187120 2266374240