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220730352 = 24343229467
BaseRepresentation
bin11010010100000…
…01001111110000
3120101100021010020
431022001033300
5423001332402
633523003440
75320114503
oct1512011760
9511307106
10220730352
11103661a87
1261b09580
1336964c9b
142145b13a
15145a18bc
hexd2813f0

220730352 has 80 divisors (see below), whose sum is σ = 587283840. Its totient is φ = 71398656.

The previous prime is 220730303. The next prime is 220730381. The reversal of 220730352 is 253037022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472423 + ... + 472889.

It is an arithmetic number, because the mean of its divisors is an integer number (7341048).

Almost surely, 2220730352 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 220730352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293641920).

220730352 is an abundant number, since it is smaller than the sum of its proper divisors (366553488).

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

220730352 is a wasteful number, since it uses less digits than its factorization.

220730352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 220730352 is about 14856.9967355452. The cubic root of 220730352 is about 604.3483656199.

Adding to 220730352 its reverse (253037022), we get a palindrome (473767374).

The spelling of 220730352 in words is "two hundred twenty million, seven hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 229 258 344 458 467 516 687 688 916 934 1032 1374 1401 1832 1868 2064 2748 2802 3664 3736 5496 5604 7472 9847 10992 11208 19694 20081 22416 29541 39388 40162 59082 60243 78776 80324 106943 118164 120486 157552 160648 213886 236328 240972 320829 321296 427772 472656 481944 641658 855544 963888 1283316 1711088 2566632 4598549 5133264 9197098 13795647 18394196 27591294 36788392 55182588 73576784 110365176 220730352