Search a number
-
+
228728158848 = 2732761745971
BaseRepresentation
bin1101010100000101000…
…0101011101010000000
3210212101110101100210200
43111001100223222000
512221413402040343
6253024250125200
722345045162110
oct3250120535200
9725343340720
10228728158848
11890040a0142
12383b4720800
1318752058237
14b0db659040
155e3a5c14d3
hex354142ba80

228728158848 has 192 divisors, whose sum is σ = 753451657920. Its totient is φ = 65243566080.

The previous prime is 228728158819. The next prime is 228728158849. The reversal of 228728158848 is 848851827822.

228728158848 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 2 + 8 + 1 + 588 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (228728158849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4952503 + ... + 4998473.

It is an arithmetic number, because the mean of its divisors is an integer number (3924227385).

Almost surely, 2228728158848 is an apocalyptic number.

228728158848 is a gapful number since it is divisible by the number (28) 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 228728158848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376725828960).

228728158848 is an abundant number, since it is smaller than the sum of its proper divisors (524723499072).

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

228728158848 is a wasteful number, since it uses less digits than its factorization.

228728158848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46615 (or 46600 counting only the distinct ones).

The product of its digits is 36700160, while the sum is 63.

The spelling of 228728158848 in words is "two hundred twenty-eight billion, seven hundred twenty-eight million, one hundred fifty-eight thousand, eight hundred forty-eight".