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221434323444 = 2232191013205291
BaseRepresentation
bin1100111000111010000…
…0111010000111110100
3210011120010202010121200
43032032200322013310
512111444141322234
6245420414012500
721666230456625
oct3161640720764
9704503663550
10221434323444
1185a009a26a4
1236ab9aa7130
1317b5bc023b9
14aa08a91a4c
155b600b4d99
hex338e83a1f4

221434323444 has 72 divisors (see below), whose sum is σ = 595030406880. Its totient is φ = 69234264000.

The previous prime is 221434323443. The next prime is 221434323491. The reversal of 221434323444 is 444323434122.

221434323444 is a `hidden beast` number, since 2 + 214 + 3 + 432 + 3 + 4 + 4 + 4 = 666.

221434323444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2214343234442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221434323399 and 221434323408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221434323443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1533562 + ... + 1671729.

Almost surely, 2221434323444 is an apocalyptic number.

It is an amenable number.

221434323444 is an abundant number, since it is smaller than the sum of its proper divisors (373596083436).

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

221434323444 is a wasteful number, since it uses less digits than its factorization.

221434323444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205421 (or 3205416 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 221434323444 its reverse (444323434122), we get a palindrome (665757757566).

The spelling of 221434323444 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1212 1818 1919 3636 3838 5757 7676 11514 17271 23028 34542 69084 3205291 6410582 9615873 12821164 19231746 28847619 38463492 57695238 60900529 115390476 121801058 182701587 243602116 323734391 365403174 548104761 647468782 730806348 971203173 1096209522 1294937564 1942406346 2192419044 2913609519 3884812692 5827219038 6150953429 11654438076 12301906858 18452860287 24603813716 36905720574 55358580861 73811441148 110717161722 221434323444