Search a number
-
+
228203155152 = 243272109296713
BaseRepresentation
bin1101010010000111110…
…1111100111011010000
3210211000212111102010100
43110201331330323100
512214330001431102
6252500213332400
722326041546100
oct3244175747320
9724025442110
10228203155152
1188864806095
1238288937100
131869a35a36b
14b08ba35200
155e09469a1c
hex3521f7ced0

228203155152 has 180 divisors, whose sum is σ = 749739902340. Its totient is φ = 64602510336.

The previous prime is 228203155129. The next prime is 228203155189. The reversal of 228203155152 is 251551302822.

228203155152 is a `hidden beast` number, since 2 + 2 + 8 + 20 + 31 + 551 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174219420816 + 53983734336 = 417396^2 + 232344^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620748 + ... + 917460.

Almost surely, 2228203155152 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 228203155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374869951170).

228203155152 is an abundant number, since it is smaller than the sum of its proper divisors (521536747188).

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

228203155152 is a wasteful number, since it uses less digits than its factorization.

228203155152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296850 (or 296834 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 228203155152 its reverse (251551302822), we get a palindrome (479754457974).

The spelling of 228203155152 in words is "two hundred twenty-eight billion, two hundred three million, one hundred fifty-five thousand, one hundred fifty-two".