Search a number
-
+
248217222 = 231122291493
BaseRepresentation
bin11101100101101…
…11111010000110
3122022001202000110
432302313322012
51002020422342
640344053450
76102545241
oct1662677206
9568052013
10248217222
11118126300
126b164286
133c56a0c6
1424d74258
1516bd0c9c
hexecb7e86

248217222 has 48 divisors (see below), whose sum is σ = 548417520. Its totient is φ = 74838720.

The previous prime is 248217181. The next prime is 248217241. The reversal of 248217222 is 222712842.

It is a super-2 number, since 2×2482172222 = 123223578594794568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248217222.

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 23 ways as a sum of consecutive naturals, for example, 165508 + ... + 167000.

It is an arithmetic number, because the mean of its divisors is an integer number (11425365).

Almost surely, 2248217222 is an apocalyptic number.

248217222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 248217222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274208760).

248217222 is an abundant number, since it is smaller than the sum of its proper divisors (300200298).

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

248217222 is a wasteful number, since it uses less digits than its factorization.

248217222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 248217222 is about 15754.9110438618. The cubic root of 248217222 is about 628.4595116220.

It can be divided in two parts, 248 and 217222, that added together give a triangular number (217470 = T659).

The spelling of 248217222 in words is "two hundred forty-eight million, two hundred seventeen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 229 242 363 458 687 726 1374 1493 2519 2986 4479 5038 7557 8958 15114 16423 27709 32846 49269 55418 83127 98538 166254 180653 341897 361306 541959 683794 1025691 1083918 2051382 3760867 7521734 11282601 22565202 41369537 82739074 124108611 248217222