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248270020 = 22553234217
BaseRepresentation
bin11101100110001…
…00110011000100
3122022011102102221
432303010303010
51002024120040
640345142124
76103155205
oct1663046304
9568142387
10248270020
11118161a39
126b18a944
133c58814b
1424d895ac
1516be174a
hexecc4cc4

248270020 has 24 divisors (see below), whose sum is σ = 531206424. Its totient is φ = 97433856.

The previous prime is 248269993. The next prime is 248270059. The reversal of 248270020 is 20072842.

It can be written as a sum of positive squares in 4 ways, for example, as 28815424 + 219454596 = 5368^2 + 14814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116049 + ... + 118168.

It is an arithmetic number, because the mean of its divisors is an integer number (22133601).

Almost surely, 2248270020 is an apocalyptic number.

248270020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248270020 is an abundant number, since it is smaller than the sum of its proper divisors (282936404).

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

248270020 is a wasteful number, since it uses less digits than its factorization.

248270020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234279 (or 234277 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 248270020 is about 15756.5865592774. The cubic root of 248270020 is about 628.5040680965.

The spelling of 248270020 in words is "two hundred forty-eight million, two hundred seventy thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 234217 468434 936868 1171085 2342170 4684340 12413501 24827002 49654004 62067505 124135010 248270020