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223542312 = 23372433439
BaseRepresentation
bin11010101001011…
…11110000101000
3120120122010101220
431110233300220
5424211323222
634103142040
75353035600
oct1524576050
9516563356
10223542312
11105202714
1262a44920
133740ab76
142198dc00
1514959b5c
hexd52fc28

223542312 has 96 divisors (see below), whose sum is σ = 653083200. Its totient is φ = 63576576.

The previous prime is 223542311. The next prime is 223542317. The reversal of 223542312 is 213245322.

223542312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (223542311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508989 + ... + 509427.

It is an arithmetic number, because the mean of its divisors is an integer number (6802950).

Almost surely, 2223542312 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 223542312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326541600).

223542312 is an abundant number, since it is smaller than the sum of its proper divisors (429540888).

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

223542312 is a wasteful number, since it uses less digits than its factorization.

223542312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 223542312 is about 14951.3314457275. The cubic root of 223542312 is about 606.9038783079.

Adding to 223542312 its reverse (213245322), we get a palindrome (436787634).

The spelling of 223542312 in words is "two hundred twenty-three million, five hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 433 439 588 866 878 1176 1299 1317 1732 1756 2598 2634 3031 3073 3464 3512 5196 5268 6062 6146 9093 9219 10392 10536 12124 12292 18186 18438 21217 21511 24248 24584 36372 36876 42434 43022 63651 64533 72744 73752 84868 86044 127302 129066 169736 172088 190087 254604 258132 380174 509208 516264 570261 760348 1140522 1330609 1520696 2281044 2661218 3991827 4562088 5322436 7983654 9314263 10644872 15967308 18628526 27942789 31934616 37257052 55885578 74514104 111771156 223542312