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248225016 = 233132334591
BaseRepresentation
bin11101100101110…
…01110011111000
3122022002010201010
432302321303320
51002021200031
640344153520
76102610044
oct1662716370
9568063633
10248225016
11118131146
126b1688a0
133c570810
1424d77024
1516bd3246
hexecb9cf8

248225016 has 64 divisors (see below), whose sum is σ = 697374720. Its totient is φ = 73054080.

The previous prime is 248225009. The next prime is 248225027. The reversal of 248225016 is 610522842.

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, 10120 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (10896480).

Almost surely, 2248225016 is an apocalyptic number.

248225016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

248225016 is an abundant number, since it is smaller than the sum of its proper divisors (449149704).

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

248225016 is a wasteful number, since it uses less digits than its factorization.

248225016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34636 (or 34632 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 248225016 is about 15755.1583933644. The cubic root of 248225016 is about 628.4660894119.

Adding to 248225016 its reverse (610522842), we get a palindrome (858747858).

The spelling of 248225016 in words is "two hundred forty-eight million, two hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 34591 69182 103773 138364 207546 276728 415092 449683 795593 830184 899366 1349049 1591186 1798732 2386779 2698098 3182372 3597464 4773558 5396196 6364744 9547116 10342709 10792392 19094232 20685418 31028127 41370836 62056254 82741672 124112508 248225016