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3222635040 = 253252237941
BaseRepresentation
bin1100000000010101…
…1000001000100000
322022120221211012100
43000011120020200
523044443310130
61251440130400
7142600642302
oct30005301040
98276854170
103222635040
111404103449
1275b306a00
133c4865451
14227ddb972
1513cdbec60
hexc0158220

3222635040 has 72 divisors (see below), whose sum is σ = 10997246988. Its totient is φ = 859368960.

The previous prime is 3222635029. The next prime is 3222635081. The reversal of 3222635040 is 405362223.

3222635040 is a `hidden beast` number, since 3 + 2 + 22 + 635 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2966763024 + 255872016 = 54468^2 + 15996^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3222634995 and 3222635013.

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, 1117531 + ... + 1120410.

Almost surely, 23222635040 is an apocalyptic number.

3222635040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3222635040 is an abundant number, since it is smaller than the sum of its proper divisors (7774611948).

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

3222635040 is a wasteful number, since it uses less digits than its factorization.

3222635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237962 (or 2237951 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3222635040 is about 56768.2573274889. The cubic root of 3222635040 is about 1477.0789475917.

Adding to 3222635040 its reverse (405362223), we get a palindrome (3627997263).

It can be divided in two parts, 322 and 2635040, that added together give a palindrome (2635362).

The spelling of 3222635040 in words is "three billion, two hundred twenty-two million, six hundred thirty-five thousand, 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 2237941 4475882 6713823 8951764 11189705 13427646 17903528 20141469 22379410 26855292 33569115 35807056 40282938 44758820 53710584 67138230 71614112 80565876 89517640 100707345 107421168 134276460 161131752 179035280 201414690 214842336 268552920 322263504 358070560 402829380 537105840 644527008 805658760 1074211680 1611317520 3222635040