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223413432 = 233112107719
BaseRepresentation
bin11010101000100…
…00010010111000
3120120101120121120
431110100102320
5424143212212
634100305240
75351661054
oct1524202270
9516346546
10223413432
11105124900
12629a2220
13373942c8
1421958c64
151493188c
hexd5104b8

223413432 has 96 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 66975040.

The previous prime is 223413401. The next prime is 223413433. The reversal of 223413432 is 234314322.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (223413433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310369 + ... + 311087.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2223413432 is an apocalyptic number.

223413432 is a gapful number since it is divisible by the number (22) 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 223413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

223413432 is an abundant number, since it is smaller than the sum of its proper divisors (397111368).

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

223413432 is a wasteful number, since it uses less digits than its factorization.

223413432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 223413432 is about 14947.0208402879. The cubic root of 223413432 is about 606.7872220804.

Adding to 223413432 its reverse (234314322), we get a palindrome (457727754).

The spelling of 223413432 in words is "two hundred twenty-three million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 121 132 214 242 264 321 363 428 484 642 719 726 856 968 1177 1284 1438 1452 2157 2354 2568 2876 2904 3531 4314 4708 5752 7062 7909 8628 9416 12947 14124 15818 17256 23727 25894 28248 31636 38841 47454 51788 63272 76933 77682 86999 94908 103576 153866 155364 173998 189816 230799 260997 307732 310728 347996 461598 521994 615464 695992 846263 923196 1043988 1692526 1846392 2087976 2538789 3385052 5077578 6770104 9308893 10155156 18617786 20310312 27926679 37235572 55853358 74471144 111706716 223413432