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221443041424 = 241110915773523
BaseRepresentation
bin1100111000111100001…
…0001010100010010000
3210011120202011001102211
43032033002022202100
512112003404311144
6245421324521504
721666364536523
oct3161702124220
9704522131384
10221443041424
1185a05907640
1236b009b0294
1317b60965577
14aa09cc0bba
155b60c38034
hex338f08a890

221443041424 has 80 divisors (see below), whose sum is σ = 475359128640. Its totient is φ = 99095892480.

The previous prime is 221443041401. The next prime is 221443041493. The reversal of 221443041424 is 424140344122.

It is a happy number.

It is a super-2 number, since 2×2214430414242 (a number of 23 digits) contains 22 as substring.

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, 2975127 + ... + 3048649.

It is an arithmetic number, because the mean of its divisors is an integer number (5941989108).

Almost surely, 2221443041424 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 221443041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237679564320).

221443041424 is an abundant number, since it is smaller than the sum of its proper divisors (253916087216).

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

221443041424 is a wasteful number, since it uses less digits than its factorization.

221443041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73808 (or 73802 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 221443041424 its reverse (424140344122), we get a palindrome (645583385546).

The spelling of 221443041424 in words is "two hundred twenty-one billion, four hundred forty-three million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 109 157 176 218 314 436 628 872 1199 1256 1727 1744 2398 2512 3454 4796 6908 9592 13816 17113 19184 27632 34226 68452 73523 136904 147046 188243 273808 294092 376486 588184 752972 808753 1176368 1505944 1617506 3011888 3235012 6470024 8014007 11543111 12940048 16028014 23086222 32056028 46172444 64112056 88154077 92344888 126974221 128224112 176308154 184689776 253948442 352616308 507896884 705232616 1015793768 1258199099 1410465232 2031587536 2516398198 5032796396 10065592792 13840190089 20131185584 27680380178 55360760356 110721520712 221443041424