Search a number
-
+
224791041641 = 29149231122511
BaseRepresentation
bin1101000101011010010…
…1110001011001101001
3210111020002000002022212
43101112211301121221
512140333001313031
6251133444054505
722145350220225
oct3212645613151
9714202002285
10224791041641
1187373756771
1237696094435
131827548299a
14ac467d3785
155ca9b1d12b
hex3456971669

224791041641 has 16 divisors (see below), whose sum is σ = 234214848000. Its totient is φ = 215480126400.

The previous prime is 224791041637. The next prime is 224791041691. The reversal of 224791041641 is 146140197422.

224791041641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 224791041641 - 22 = 224791041637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224791041611) 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 15 ways as a sum of consecutive naturals, for example, 9974576 + ... + 9997086.

It is an arithmetic number, because the mean of its divisors is an integer number (14638428000).

Almost surely, 2224791041641 is an apocalyptic number.

It is an amenable number.

224791041641 is a deficient number, since it is larger than the sum of its proper divisors (9423806359).

224791041641 is a wasteful number, since it uses less digits than its factorization.

224791041641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 224791041641 in words is "two hundred twenty-four billion, seven hundred ninety-one million, forty-one thousand, six hundred forty-one".

Divisors: 1 29 149 2311 4321 22511 67019 344339 652819 3354139 9985831 52022921 97270031 1508664709 7751415229 224791041641