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248212664 = 23719332293
BaseRepresentation
bin11101100101101…
…10110010111000
3122022001111202122
432302312302320
51002020301124
640344020412
76102526040
oct1662666270
9568044678
10248212664
11118122937
126b161708
133c567ccb
1424d72720
1516bce75e
hexecb6cb8

248212664 has 32 divisors (see below), whose sum is σ = 532391520. Its totient is φ = 106275456.

The previous prime is 248212661. The next prime is 248212669. The reversal of 248212664 is 466212842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248212661) 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, 107102 + ... + 109394.

It is an arithmetic number, because the mean of its divisors is an integer number (16637235).

Almost surely, 2248212664 is an apocalyptic number.

It is an amenable number.

248212664 is an abundant number, since it is smaller than the sum of its proper divisors (284178856).

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

248212664 is a wasteful number, since it uses less digits than its factorization.

248212664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4235 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 248212664 is about 15754.7663898898. The cubic root of 248212664 is about 628.4556648086.

The spelling of 248212664 in words is "two hundred forty-eight million, two hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1933 2293 3866 4586 7732 9172 13531 15464 16051 18344 27062 32102 54124 64204 108248 128408 4432369 8864738 17729476 31026583 35458952 62053166 124106332 248212664