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228018648 = 233111329279
BaseRepresentation
bin11011001011101…
…00100111011000
3120220001112210010
431211310213120
5431333044043
634343121520
75436061254
oct1545644730
9526045703
10228018648
1110778a870
12644432a0
13383174a0
14223d7264
1515041133
hexd9749d8

228018648 has 192 divisors, whose sum is σ = 702374400. Its totient is φ = 60802560.

The previous prime is 228018647. The next prime is 228018649. The reversal of 228018648 is 846810822.

It is an interprime number because it is at equal distance from previous prime (228018647) and next prime (228018649).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228018643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2886273 + ... + 2886351.

It is an arithmetic number, because the mean of its divisors is an integer number (3658200).

Almost surely, 2228018648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228018648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351187200).

228018648 is an abundant number, since it is smaller than the sum of its proper divisors (474355752).

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

228018648 is a wasteful number, since it uses less digits than its factorization.

228018648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 228018648 is about 15100.2863549007. The cubic root of 228018648 is about 610.9281293509.

The spelling of 228018648 in words is "two hundred twenty-eight million, eighteen thousand, six hundred forty-eight".