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224246968 = 231119711889
BaseRepresentation
bin11010101110110…
…11110010111000
3120121221221000021
431113123302320
5424401400333
634130220224
75362032151
oct1527336270
9517857007
10224246968
11105644080
1263124674
13375c681a
1421ad4928
1514a4882d
hexd5dbcb8

224246968 has 64 divisors (see below), whose sum is σ = 489888000. Its totient is φ = 95155200.

The previous prime is 224246927. The next prime is 224246969. The reversal of 224246968 is 869642422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224246969) 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, 117768 + ... + 119656.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2224246968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224246968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

224246968 is an abundant number, since it is smaller than the sum of its proper divisors (265641032).

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

224246968 is a wasteful number, since it uses less digits than its factorization.

224246968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 224246968 is about 14974.8778959963. The cubic root of 224246968 is about 607.5409089174.

It can be divided in two parts, 22424 and 6968, that added together give a palindrome (29392).

The spelling of 224246968 in words is "two hundred twenty-four million, two hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 71 76 88 142 152 209 284 418 568 781 836 1349 1562 1672 1889 2698 3124 3778 5396 6248 7556 10792 14839 15112 20779 29678 35891 41558 59356 71782 83116 118712 134119 143564 166232 268238 287128 394801 536476 789602 1072952 1475309 1579204 2548261 2950618 3158408 5096522 5901236 10193044 11802472 20386088 28030871 56061742 112123484 224246968