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2269745640 = 233258970841
BaseRepresentation
bin1000011101001001…
…1001000111101000
312212011221000200100
42013102121013220
514122023330030
61013120305400
7110150343141
oct20722310750
95764830610
102269745640
11a65237548
12534172260
132a2311476
14177634ac8
15d43e7360
hex874991e8

2269745640 has 96 divisors (see below), whose sum is σ = 7459662600. Its totient is φ = 598456320.

The previous prime is 2269745627. The next prime is 2269745659. The reversal of 2269745640 is 465479622.

2269745640 is a `hidden beast` number, since 22 + 69 + 7 + 4 + 564 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1463980644 + 805764996 = 38262^2 + 28386^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3381 + ... + 67460.

Almost surely, 22269745640 is an apocalyptic number.

2269745640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729831300).

2269745640 is an abundant number, since it is smaller than the sum of its proper divisors (5189916960).

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

2269745640 is a wasteful number, since it uses less digits than its factorization.

2269745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70947 (or 70940 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2269745640 is about 47641.8475712267. The cubic root of 2269745640 is about 1314.1927394622.

The spelling of 2269745640 in words is "two billion, two hundred sixty-nine million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 70841 141682 212523 283364 354205 425046 566728 637569 708410 850092 1062615 1275138 1416820 1700184 2125230 2550276 2833640 3187845 4250460 5100552 6304849 6375690 8500920 12609698 12751380 18914547 25219396 25502760 31524245 37829094 50438792 56743641 63048490 75658188 94572735 113487282 126096980 151316376 189145470 226974564 252193960 283718205 378290940 453949128 567436410 756581880 1134872820 2269745640