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220324344 = 23337475279
BaseRepresentation
bin11010010000111…
…10000111111000
3120100120122011220
431020132013320
5422400334334
633510152040
75313504012
oct1510360770
9510518156
10220324344
11103404a39
1261952620
1336852246
14213931b2
1514521449
hexd21e1f8

220324344 has 64 divisors (see below), whose sum is σ = 577843200. Its totient is φ = 69922944.

The previous prime is 220324343. The next prime is 220324373. The reversal of 220324344 is 443423022.

220324344 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220324343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39097 + ... + 44375.

It is an arithmetic number, because the mean of its divisors is an integer number (9028800).

Almost surely, 2220324344 is an apocalyptic number.

220324344 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 220324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288921600).

220324344 is an abundant number, since it is smaller than the sum of its proper divisors (357518856).

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

220324344 is a wasteful number, since it uses less digits than its factorization.

220324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 220324344 is about 14843.3265813294. The cubic root of 220324344 is about 603.9775951808.

Adding to 220324344 its reverse (443423022), we get a palindrome (663747366).

The spelling of 220324344 in words is "two hundred twenty million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 94 111 141 148 188 222 282 296 376 444 564 888 1128 1739 3478 5217 5279 6956 10434 10558 13912 15837 20868 21116 31674 41736 42232 63348 126696 195323 248113 390646 496226 585969 744339 781292 992452 1171938 1488678 1562584 1984904 2343876 2977356 4687752 5954712 9180181 18360362 27540543 36720724 55081086 73441448 110162172 220324344