Search a number
-
+
228139165980 = 2233511172519001
BaseRepresentation
bin1101010001111000100…
…1110110100100011100
3210210212102002102111000
43110132021312210130
512214212111302410
6252450010030300
722324333625535
oct3243611664434
9723772072430
10228139165980
1188831680080
123826b418390
131868a01474b
14b08333968c
155e03a29dc0
hex351e27691c

228139165980 has 384 divisors, whose sum is σ = 823194731520. Its totient is φ = 51840000000.

The previous prime is 228139165973. The next prime is 228139165987. The reversal of 228139165980 is 89561931822.

228139165980 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 39 + 16 + 598 + 0 = 666.

228139165980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228139165973) and next prime (228139165987).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228139165987) 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 127 ways as a sum of consecutive naturals, for example, 25341480 + ... + 25350480.

It is an arithmetic number, because the mean of its divisors is an integer number (2143736280).

Almost surely, 2228139165980 is an apocalyptic number.

228139165980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228139165980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411597365760).

228139165980 is an abundant number, since it is smaller than the sum of its proper divisors (595055565540).

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

228139165980 is a wasteful number, since it uses less digits than its factorization.

228139165980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 228139165980 in words is "two hundred twenty-eight billion, one hundred thirty-nine million, one hundred sixty-five thousand, nine hundred eighty".