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220221116424 = 233219926358441
BaseRepresentation
bin1100110100011000110…
…0111001000000001000
3210001102120212211110100
43031012030321000020
512102003101211144
6245100154445400
721624166414131
oct3150614710010
9701376784410
10220221116424
1185439096271
123681b733860
13179c776571a
14a9318c4c88
155add81b269
hex3346339008

220221116424 has 96 divisors (see below), whose sum is σ = 601718832000. Its totient is φ = 72759202560.

The previous prime is 220221116419. The next prime is 220221116447. The reversal of 220221116424 is 424611122022.

It is a happy number.

220221116424 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 1 + 11 + 642 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3739044 + ... + 3797484.

It is an arithmetic number, because the mean of its divisors is an integer number (6267904500).

Almost surely, 2220221116424 is an apocalyptic number.

220221116424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220221116424 is an abundant number, since it is smaller than the sum of its proper divisors (381497715576).

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

220221116424 is a wasteful number, since it uses less digits than its factorization.

220221116424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58915 (or 58908 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 220221116424 its reverse (424611122022), we get a palindrome (644832238446).

The spelling of 220221116424 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 263 398 526 597 789 796 1052 1194 1578 1592 1791 2104 2367 2388 3156 3582 4734 4776 6312 7164 9468 14328 18936 52337 58441 104674 116882 157011 175323 209348 233764 314022 350646 418696 467528 471033 525969 628044 701292 942066 1051938 1256088 1402584 1884132 2103876 3768264 4207752 11629759 15369983 23259518 30739966 34889277 46109949 46519036 61479932 69778554 92219898 93038072 104667831 122959864 138329847 139557108 184439796 209335662 276659694 279114216 368879592 418671324 553319388 837342648 1106638776 3058626617 6117253234 9175879851 12234506468 18351759702 24469012936 27527639553 36703519404 55055279106 73407038808 110110558212 220221116424