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248368190 = 25719186743
BaseRepresentation
bin11101100110111…
…00110000111110
3122022100102002212
432303130300332
51002040240230
640351220422
76104044340
oct1663346076
9568312085
10248368190
11118219774
126b217712
133c5c0a35
1424db3290
1516c10895
hexecdcc3e

248368190 has 32 divisors (see below), whose sum is σ = 537822720. Its totient is φ = 80672544.

The previous prime is 248368177. The next prime is 248368193. The reversal of 248368190 is 91863842.

248368190 = 13002 + 13012 + ... + 14322.

It is a super-2 number, since 2×2483681902 = 123373515607752200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248368193) by changing a digit.

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, 92042 + ... + 94701.

It is an arithmetic number, because the mean of its divisors is an integer number (16806960).

Almost surely, 2248368190 is an apocalyptic number.

248368190 is an abundant number, since it is smaller than the sum of its proper divisors (289454530).

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

248368190 is a wasteful number, since it uses less digits than its factorization.

248368190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186776.

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 248368190 is about 15759.7014565632. The cubic root of 248368190 is about 628.5868974204.

The spelling of 248368190 in words is "two hundred forty-eight million, three hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 186743 373486 933715 1307201 1867430 2614402 3548117 6536005 7096234 13072010 17740585 24836819 35481170 49673638 124184095 248368190