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2465225640 = 2332537185077
BaseRepresentation
bin1001001011110000…
…0101101110101000
320100210202102211100
42102330011232220
520022044210030
61044342201400
7115043033523
oct22274055650
96323672740
102465225640
111055612569
12589723260
133039752c7
1419559bbba
15e665c360
hex92f05ba8

2465225640 has 96 divisors (see below), whose sum is σ = 8228567880. Its totient is φ = 639622656.

The previous prime is 2465225593. The next prime is 2465225681. The reversal of 2465225640 is 465225642.

2465225640 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 2 + 2 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2058073956 + 407151684 = 45366^2 + 20178^2 .

It is a super-2 number, since 2×24652256402 = 12154674912226819200, which contains 22 as substring.

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 = 2465225595 and 2465225604.

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, 79219 + ... + 105858.

Almost surely, 22465225640 is an apocalyptic number.

2465225640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2465225640 is an abundant number, since it is smaller than the sum of its proper divisors (5763342240).

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

2465225640 is a wasteful number, since it uses less digits than its factorization.

2465225640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185131 (or 185124 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2465225640 is about 49651.0386598307. The cubic root of 2465225640 is about 1350.8865945681.

The spelling of 2465225640 in words is "two billion, four hundred sixty-five million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 185077 370154 555231 740308 925385 1110462 1480616 1665693 1850770 2220924 2776155 3331386 3701540 4441848 5552310 6662772 6847849 7403080 8328465 11104620 13325544 13695698 16656930 20543547 22209240 27391396 33313860 34239245 41087094 54782792 61630641 66627720 68478490 82174188 102717735 123261282 136956980 164348376 205435470 246522564 273913960 308153205 410870940 493045128 616306410 821741880 1232612820 2465225640