Search a number
-
+
221443046016 = 2732919885331
BaseRepresentation
bin1100111000111100001…
…0001011101010000000
3210011120202011021201220
43032033002023222000
512112003404433031
6245421324555040
721666364556103
oct3161702135200
9704522137656
10221443046016
1185a05910035
1236b009b2a80
1317b6096769a
14aa09cc273a
155b60c39596
hex338f08ba80

221443046016 has 64 divisors (see below), whose sum is σ = 608491159200. Its totient is φ = 71269022720.

The previous prime is 221443046003. The next prime is 221443046017. The reversal of 221443046016 is 610640344122.

It is a happy number.

221443046016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (221443046017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9931530 + ... + 9953801.

Almost surely, 2221443046016 is an apocalyptic number.

It is an amenable number.

221443046016 is an abundant number, since it is smaller than the sum of its proper divisors (387048113184).

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

221443046016 is a wasteful number, since it uses less digits than its factorization.

221443046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19885377 (or 19885365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 221443046016 in words is "two hundred twenty-one billion, four hundred forty-three million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 19885331 39770662 59655993 79541324 119311986 159082648 238623972 318165296 477247944 576674599 636330592 954495888 1153349198 1272661184 1730023797 1908991776 2306698396 2545322368 3460047594 3817983552 4613396792 6920095188 7635967104 9226793584 13840190376 18453587168 27680380752 36907174336 55360761504 73814348672 110721523008 221443046016