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10226433564 = 2232284067599
BaseRepresentation
bin10011000011000101…
…01111111000011100
3222101200211122120200
421201202233320130
5131420431333224
64410431543500
7511264152054
oct114142577034
928350748520
1010226433564
114378611996
121b9498ab90
13c6c89b329
146d0266564
153ecbd95c9
hex2618afe1c

10226433564 has 18 divisors (see below), whose sum is σ = 25850151600. Its totient is φ = 3408811176.

The previous prime is 10226433557. The next prime is 10226433583. The reversal of 10226433564 is 46533462201.

10226433564 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 64 + 33 + 564 = 666.

10226433564 is digitally balanced in base 2, 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 (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 284067599 = 10226433564 / (1 + 0 + 2 + 2 + 6 + 4 + 3 + 3 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142033764 + ... + 142033835.

Almost surely, 210226433564 is an apocalyptic number.

It is an amenable number.

10226433564 is an abundant number, since it is smaller than the sum of its proper divisors (15623718036).

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

10226433564 is a wasteful number, since it uses less digits than its factorization.

10226433564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284067609 (or 284067604 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10226433564 its reverse (46533462201), we get a palindrome (56759895765).

The spelling of 10226433564 in words is "ten billion, two hundred twenty-six million, four hundred thirty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 284067599 568135198 852202797 1136270396 1704405594 2556608391 3408811188 5113216782 10226433564