Search a number
-
+
226130436180 = 223451121153609
BaseRepresentation
bin1101001010011001101…
…1001010000001010100
3210121200102022101020000
43102212123022001110
512201103342424210
6251514412011300
722223502664455
oct3224633120124
9717612271200
10226130436180
11879a0810700
12379aa760b30
1318429b01a2c
14ad3264b12c
155d374e0ac0
hex34a66ca054

226130436180 has 180 divisors, whose sum is σ = 779731920660. Its totient is φ = 54819452160.

The previous prime is 226130436173. The next prime is 226130436187. The reversal of 226130436180 is 81634031622.

226130436180 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 30 + 4 + 3 + 618 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226130436173) and next prime (226130436187).

It can be written as a sum of positive squares in 2 ways, for example, as 29946994704 + 196183441476 = 173052^2 + 442926^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2261304361802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226130436187) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 380785 + ... + 772824.

Almost surely, 2226130436180 is an apocalyptic number.

226130436180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226130436180 is an abundant number, since it is smaller than the sum of its proper divisors (553601484480).

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

226130436180 is a wasteful number, since it uses less digits than its factorization.

226130436180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153652 (or 1153630 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 226130436180 in words is "two hundred twenty-six billion, one hundred thirty million, four hundred thirty-six thousand, one hundred eighty".