Search a number
-
+
223744248 = 233371311383
BaseRepresentation
bin11010101011000…
…01000011111000
3120121000101102000
431111201003320
5424234303443
634111341000
75354536410
oct1525410370
9517011360
10223744248
11105330402
1262b21760
133747ba60
1421a03640
15149998d3
hexd5610f8

223744248 has 128 divisors (see below), whose sum is σ = 765004800. Its totient is φ = 59004288.

The previous prime is 223744243. The next prime is 223744271. The reversal of 223744248 is 842447322.

223744248 is a `hidden beast` number, since 223 + 7 + 4 + 424 + 8 = 666.

It is a super-2 number, since 2×2237442482 = 100122977026171008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223744243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13965 + ... + 25347.

It is an arithmetic number, because the mean of its divisors is an integer number (5976600).

Almost surely, 2223744248 is an apocalyptic number.

223744248 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 223744248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382502400).

223744248 is an abundant number, since it is smaller than the sum of its proper divisors (541260552).

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

223744248 is a wasteful number, since it uses less digits than its factorization.

223744248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11408 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 223744248 is about 14958.0830322605. The cubic root of 223744248 is about 607.0865713226.

The spelling of 223744248 in words is "two hundred twenty-three million, seven hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 11383 19656 22766 34149 45532 68298 79681 91064 102447 136596 147979 159362 204894 239043 273192 295958 307341 318724 409788 443937 478086 591916 614682 637448 717129 819576 887874 956172 1035853 1183832 1229364 1331811 1434258 1775748 1912344 2071706 2151387 2458728 2663622 2868516 3107559 3551496 3995433 4143412 4302774 5327244 5737032 6215118 7990866 8286824 8605548 9322677 10654488 12430236 15981732 17211096 18645354 24860472 27968031 31963464 37290708 55936062 74581416 111872124 223744248