Search a number
-
+
221423423562 = 2321119281920879
BaseRepresentation
bin1100111000110111011…
…1010101000001001010
3210011112101020100210100
43032031313111001022
512111433344023222
6245415344230230
721666036021555
oct3161567250112
9704471210710
10221423423562
11859a5828430
1236ab630b376
1317b59887073
14aa0745569c
155b5e1604ac
hex338ddd504a

221423423562 has 96 divisors (see below), whose sum is σ = 551131776000. Its totient is φ = 63540940320.

The previous prime is 221423423531. The next prime is 221423423609. The reversal of 221423423562 is 265324324122.

221423423562 is a `hidden beast` number, since 2 + 2 + 1 + 42 + 34 + 23 + 562 = 666.

221423423562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10594639 + ... + 10615517.

It is an arithmetic number, because the mean of its divisors is an integer number (5740956000).

Almost surely, 2221423423562 is an apocalyptic number.

221423423562 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221423423562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275565888000).

221423423562 is an abundant number, since it is smaller than the sum of its proper divisors (329708352438).

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

221423423562 is a wasteful number, since it uses less digits than its factorization.

221423423562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736 (or 23733 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 221423423562 its reverse (265324324122), we get a palindrome (486747747684).

The spelling of 221423423562 in words is "two hundred twenty-one billion, four hundred twenty-three million, four hundred twenty-three thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 2819 3762 5638 8457 16914 20879 25371 31009 41758 50742 53561 62018 62637 93027 107122 125274 160683 186054 187911 229669 279081 321366 375822 396701 459338 482049 558162 589171 689007 793402 964098 1178342 1190103 1378014 1767513 2067021 2380206 3535026 3570309 4134042 4363711 5302539 7140618 8727422 10605078 13091133 26182266 39273399 58857901 78546798 117715802 176573703 353147406 529721109 647436911 1059442218 1118300119 1294873822 1942310733 2236600238 3354900357 3884621466 5826932199 6709800714 10064701071 11653864398 12301301309 20129402142 24602602618 36903903927 73807807854 110711711781 221423423562