Search a number
-
+
221367068145 = 3254919268181
BaseRepresentation
bin1100111000101010000…
…0010110010111110001
3210011101110012012200200
43032022200112113301
512111324432140040
6245410012305413
721664453014216
oct3161240262761
9704343165620
10221367068145
1185976a36803
1236a9b472269
1317b4acb4c72
14a9ddb85b0d
155b5922c630
hex338a8165f1

221367068145 has 12 divisors (see below), whose sum is σ = 383702918196. Its totient is φ = 118062436320.

The previous prime is 221367068141. The next prime is 221367068149. The reversal of 221367068145 is 541860763122.

221367068145 is a `hidden beast` number, since 221 + 367 + 0 + 68 + 1 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (221367068141) and next prime (221367068149).

It can be written as a sum of positive squares in 2 ways, for example, as 120647159649 + 100719908496 = 347343^2 + 317364^2 .

It is not a de Polignac number, because 221367068145 - 22 = 221367068141 is a prime.

It is a super-2 number, since 2×2213670681452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4919268181 = 221367068145 / (2 + 2 + 1 + 3 + 6 + 7 + 0 + 6 + 8 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 221367068145.

It is not an unprimeable number, because it can be changed into a prime (221367068141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2459634046 + ... + 2459634135.

It is an arithmetic number, because the mean of its divisors is an integer number (31975243183).

Almost surely, 2221367068145 is an apocalyptic number.

It is an amenable number.

221367068145 is a deficient number, since it is larger than the sum of its proper divisors (162335850051).

221367068145 is a wasteful number, since it uses less digits than its factorization.

221367068145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919268192 (or 4919268189 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 221367068145 in words is "two hundred twenty-one billion, three hundred sixty-seven million, sixty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 4919268181 14757804543 24596340905 44273413629 73789022715 221367068145