Search a number
-
+
221221244420 = 2251118117413191
BaseRepresentation
bin1100111000000111010…
…0000100111000000100
3210011000021210121010222
43032001310010320010
512111030114310140
6245343323003512
721661032360161
oct3160164047004
9704007717128
10221221244420
1185901697230
1236a5a669598
1317b26a18c37
14a9c8667068
155b4b5255b5
hex3381d04e04

221221244420 has 96 divisors (see below), whose sum is σ = 510050241792. Its totient is φ = 79928640000.

The previous prime is 221221244407. The next prime is 221221244437. The reversal of 221221244420 is 24442122122.

It is a super-2 number, since 2×2212212444202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221221244420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69325025 + ... + 69328215.

It is an arithmetic number, because the mean of its divisors is an integer number (5313023352).

Almost surely, 2221221244420 is an apocalyptic number.

221221244420 is a gapful number since it is divisible by the number (20) 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 221221244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255025120896).

221221244420 is an abundant number, since it is smaller than the sum of its proper divisors (288828997372).

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

221221244420 is a wasteful number, since it uses less digits than its factorization.

221221244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 221221244420 its reverse (24442122122), we get a palindrome (245663366542).

The spelling of 221221244420 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1741 1810 1991 3191 3482 3620 3982 6382 6964 7964 8705 9955 12764 15955 17410 19151 19910 31910 34820 35101 38302 39820 63820 70202 76604 95755 140404 175505 191510 315121 351010 383020 577571 630242 702020 1155142 1260484 1575605 2310284 2887855 3151210 3466331 5555531 5775710 6302420 6353281 6932662 11111062 11551420 12706562 13865324 17331655 22222124 25413124 27777655 31766405 34663310 55555310 61110841 63532810 69326620 111110620 122221682 127065620 244443364 305554205 611108410 1005551111 1222216820 2011102222 4022204444 5027755555 10055511110 11061062221 20111022220 22122124442 44244248884 55305311105 110610622210 221221244420