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248223668 = 227117111351
BaseRepresentation
bin11101100101110…
…01011110110100
3122022002001212012
432302321132310
51002021124133
640344143352
76102603110
oct1662713664
9568061765
10248223668
11118130130
126b167b58
133c570014
1424d76740
1516bd2b48
hexecb97b4

248223668 has 48 divisors (see below), whose sum is σ = 549255168. Its totient is φ = 95340000.

The previous prime is 248223653. The next prime is 248223671. The reversal of 248223668 is 866322842.

It is a super-2 number, since 2×2482236682 = 123229978710748448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16193 + ... + 27543.

It is an arithmetic number, because the mean of its divisors is an integer number (11442816).

Almost surely, 2248223668 is an apocalyptic number.

248223668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248223668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274627584).

248223668 is an abundant number, since it is smaller than the sum of its proper divisors (301031500).

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

248223668 is a wasteful number, since it uses less digits than its factorization.

248223668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444 (or 11442 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The square root of 248223668 is about 15755.1156136666. The cubic root of 248223668 is about 628.4649517696.

The spelling of 248223668 in words is "two hundred forty-eight million, two hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 5467 10934 11351 21868 22702 45404 79457 124861 158914 249722 317828 499444 805921 874027 1611842 1748054 3223684 3496108 5641447 8865131 11282894 17730262 22565788 35460524 62055917 124111834 248223668