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228215232 = 2634719331
BaseRepresentation
bin11011001101001…
…00100111000000
3120220102112110000
431212210213000
5431410341412
634351240000
75440540350
oct1546444700
9526375400
10228215232
11107904533
1264519000
1338385acb
1422448b60
151507e4dc
hexd9a49c0

228215232 has 280 divisors, whose sum is σ = 816295040. Its totient is φ = 61585920.

The previous prime is 228215227. The next prime is 228215237. The reversal of 228215232 is 232512822.

It is an interprime number because it is at equal distance from previous prime (228215227) and next prime (228215237).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 228215196 and 228215205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228215237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689307 + ... + 689637.

Almost surely, 2228215232 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 228215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408147520).

228215232 is an abundant number, since it is smaller than the sum of its proper divisors (588079808).

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

228215232 is a wasteful number, since it uses less digits than its factorization.

228215232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 228215232 is about 15106.7942330595. The cubic root of 228215232 is about 611.1036474485.

The spelling of 228215232 in words is "two hundred twenty-eight million, two hundred fifteen thousand, two hundred thirty-two".