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248229864 = 233212232819
BaseRepresentation
bin11101100101110…
…10111111101000
3122022002101100200
432302322333220
51002021323424
640344232200
76102630141
oct1662727750
9568071320
10248229864
11118134853
126b16b660
133c572a9c
1424d78ac8
1516bd48c9
hexecbafe8

248229864 has 48 divisors (see below), whose sum is σ = 673077600. Its totient is φ = 82646304.

The previous prime is 248229833. The next prime is 248229881. The reversal of 248229864 is 468922842.

It is a nude number because it is divisible by every one of its digits.

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, 86647 + ... + 89465.

It is an arithmetic number, because the mean of its divisors is an integer number (14022450).

Almost surely, 2248229864 is an apocalyptic number.

248229864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248229864 is an abundant number, since it is smaller than the sum of its proper divisors (424847736).

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

248229864 is a wasteful number, since it uses less digits than its factorization.

248229864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4047 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 248229864 is about 15755.3122469851. The cubic root of 248229864 is about 628.4701808391.

The spelling of 248229864 in words is "two hundred forty-eight million, two hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1223 2446 2819 3669 4892 5638 7338 8457 9784 11007 11276 14676 16914 22014 22552 25371 29352 33828 44028 50742 67656 88056 101484 202968 3447637 6895274 10342911 13790548 20685822 27581096 31028733 41371644 62057466 82743288 124114932 248229864