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248236020 = 223251379089
BaseRepresentation
bin11101100101111…
…00011111110100
3122022002200210200
432302330133310
51002022023040
640344320500
76102654114
oct1662743764
9568080720
10248236020
1111813943a
126b173130
133c575826
1424d7b044
1516bd6630
hexecbc7f4

248236020 has 36 divisors (see below), whose sum is σ = 752983140. Its totient is φ = 66196224.

The previous prime is 248236019. The next prime is 248236039. The reversal of 248236020 is 20632842.

It can be written as a sum of positive squares in 2 ways, for example, as 164403684 + 83832336 = 12822^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2482360202 = 123242243250880800, which contains 22 as substring.

It is a congruent number.

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, 689365 + ... + 689724.

Almost surely, 2248236020 is an apocalyptic number.

248236020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248236020 is an abundant number, since it is smaller than the sum of its proper divisors (504747120).

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

248236020 is a wasteful number, since it uses less digits than its factorization.

248236020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379104 (or 1379099 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 248236020 is about 15755.5076084524. The cubic root of 248236020 is about 628.4753760647.

Adding to 248236020 its reverse (20632842), we get a palindrome (268868862).

The spelling of 248236020 in words is "two hundred forty-eight million, two hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1379089 2758178 4137267 5516356 6895445 8274534 12411801 13790890 16549068 20686335 24823602 27581780 41372670 49647204 62059005 82745340 124118010 248236020