Search a number
-
+
225612225648 = 24321566751567
BaseRepresentation
bin1101001000011110001…
…0010101110001110000
3210120100022012120000100
43102013202111301300
512144023212210043
6251351140552400
722204611163545
oct3220742256160
9716308176010
10225612225648
1187755246437
12378850b2700
1318376641b94
14acc38b4bcc
155d06c7bcd3
hex3487895c70

225612225648 has 30 divisors (see below), whose sum is σ = 631400881904. Its totient is φ = 75204075168.

The previous prime is 225612225607. The next prime is 225612225689. The reversal of 225612225648 is 846522216522.

225612225648 is a `hidden beast` number, since 2 + 2 + 5 + 61 + 2 + 22 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (225612225607) and next prime (225612225689).

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, 783375640 + ... + 783375927.

Almost surely, 2225612225648 is an apocalyptic number.

It is an amenable number.

225612225648 is an abundant number, since it is smaller than the sum of its proper divisors (405788656256).

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

225612225648 is a wasteful number, since it uses less digits than its factorization.

225612225648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566751581 (or 1566751572 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 225612225648 in words is "two hundred twenty-five billion, six hundred twelve million, two hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1566751567 3133503134 4700254701 6267006268 9400509402 12534012536 14100764103 18801018804 25068025072 28201528206 37602037608 56403056412 75204075216 112806112824 225612225648