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2280310020 = 2232529436841
BaseRepresentation
bin1000011111101010…
…1100010100000100
312212220210202021200
42013322230110010
514132224410040
61014134542500
7110336213112
oct20772542404
95786722250
102280310020
11a701a273a
12537807a30
132a456cb91
14178bc4ab2
15d52d2630
hex87eac504

2280310020 has 72 divisors (see below), whose sum is σ = 7155471960. Its totient is φ = 587112960.

The previous prime is 2280310003. The next prime is 2280310031. The reversal of 2280310020 is 200130822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 302551236 + 1977758784 = 17394^2 + 44472^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2280309975 and 2280310002.

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, 213201 + ... + 223640.

It is an arithmetic number, because the mean of its divisors is an integer number (99381555).

Almost surely, 22280310020 is an apocalyptic number.

2280310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280310020 is an abundant number, since it is smaller than the sum of its proper divisors (4875161940).

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

2280310020 is a wasteful number, since it uses less digits than its factorization.

2280310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436885 (or 436880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2280310020 is about 47752.5917621232. The cubic root of 2280310020 is about 1316.2285251216.

Adding to 2280310020 its reverse (200130822), we get a palindrome (2480440842).

It can be divided in two parts, 22803 and 10020, that added together give a palindrome (32823).

The spelling of 2280310020 in words is "two billion, two hundred eighty million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 436841 873682 1310523 1747364 2184205 2621046 3931569 4368410 5242092 6552615 7863138 8736820 12668389 13105230 15726276 19657845 25336778 26210460 38005167 39315690 50673556 63341945 76010334 78631380 114015501 126683890 152020668 190025835 228031002 253367780 380051670 456062004 570077505 760103340 1140155010 2280310020