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248395220 = 22541302921
BaseRepresentation
bin11101100111000…
…11010111010100
3122022101210011222
432303203113110
51002042121340
640351545512
76104216213
oct1663432724
9568353158
10248395220
11118238007
126b22b298
133c600128
1424dbd07a
1516c188b5
hexece35d4

248395220 has 24 divisors (see below), whose sum is σ = 534354408. Its totient is φ = 96934400.

The previous prime is 248395201. The next prime is 248395223. The reversal of 248395220 is 22593842.

It can be written as a sum of positive squares in 4 ways, for example, as 10125124 + 238270096 = 3182^2 + 15436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248395223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150641 + ... + 152280.

It is an arithmetic number, because the mean of its divisors is an integer number (22264767).

Almost surely, 2248395220 is an apocalyptic number.

248395220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248395220 is an abundant number, since it is smaller than the sum of its proper divisors (285959188).

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

248395220 is a wasteful number, since it uses less digits than its factorization.

248395220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302971 (or 302969 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 248395220 is about 15760.5590002385. The cubic root of 248395220 is about 628.6096997064.

The spelling of 248395220 in words is "two hundred forty-eight million, three hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 302921 605842 1211684 1514605 3029210 6058420 12419761 24839522 49679044 62098805 124197610 248395220