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223913424 = 24374671427
BaseRepresentation
bin11010101100010…
…10010111010000
3120121022222110210
431112022113100
5424310212144
634115124120
75356142550
oct1526122720
9517288423
10223913424
11105436519
1262ba3640
133750aa67
1421a49160
15149ceab9
hexd58a5d0

223913424 has 80 divisors (see below), whose sum is σ = 662957568. Its totient is φ = 63793536.

The previous prime is 223913419. The next prime is 223913429. The reversal of 223913424 is 424319322.

It is an interprime number because it is at equal distance from previous prime (223913419) and next prime (223913429).

It is a junction number, because it is equal to n+sod(n) for n = 223913391 and 223913400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223913429) 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 15 ways as a sum of consecutive naturals, for example, 156199 + ... + 157625.

Almost surely, 2223913424 is an apocalyptic number.

223913424 is a gapful number since it is divisible by the number (24) 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 223913424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331478784).

223913424 is an abundant number, since it is smaller than the sum of its proper divisors (439044144).

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

223913424 is a wasteful number, since it uses less digits than its factorization.

223913424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 223913424 is about 14963.7369664132. The cubic root of 223913424 is about 607.2395415168.

The spelling of 223913424 in words is "two hundred twenty-three million, nine hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 467 934 1401 1427 1868 2802 2854 3269 3736 4281 5604 5708 6538 7472 8562 9807 9989 11208 11416 13076 17124 19614 19978 22416 22832 26152 29967 34248 39228 39956 52304 59934 68496 78456 79912 119868 156912 159824 239736 479472 666409 1332818 1999227 2665636 3998454 4664863 5331272 7996908 9329726 10662544 13994589 15993816 18659452 27989178 31987632 37318904 55978356 74637808 111956712 223913424