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221434044444 = 223222727096677
BaseRepresentation
bin1100111000111001111…
…1110110000000011100
3210011120010012221220100
43032032133312000130
512111444103410234
6245420404021100
721666225215334
oct3161637660034
9704503187810
10221434044444
1185a00822018
1236ab9991790
1317b5bb35402
14aa08a1c0c4
155b6005c399
hex338e7f601c

221434044444 has 36 divisors (see below), whose sum is σ = 562201875144. Its totient is φ = 73486185312.

The previous prime is 221434044439. The next prime is 221434044451. The reversal of 221434044444 is 444440434122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 221434044399 and 221434044408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13540167 + ... + 13556510.

It is an arithmetic number, because the mean of its divisors is an integer number (15616718754).

Almost surely, 2221434044444 is an apocalyptic number.

It is an amenable number.

221434044444 is an abundant number, since it is smaller than the sum of its proper divisors (340767830700).

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

221434044444 is a wasteful number, since it uses less digits than its factorization.

221434044444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27096914 (or 27096909 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 221434044444 its reverse (444440434122), we get a palindrome (665874478566).

The spelling of 221434044444 in words is "two hundred twenty-one billion, four hundred thirty-four million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 2043 2724 4086 8172 27096677 54193354 81290031 108386708 162580062 243870093 325160124 487740186 975480372 6150945679 12301891358 18452837037 24603782716 36905674074 55358511111 73811348148 110717022222 221434044444