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228805632 = 21032113761
BaseRepresentation
bin11011010001101…
…00110000000000
3120221112112022200
431220310300000
5432033240012
634412033200
75445546546
oct1550646000
9527475280
10228805632
11108178070
1264762800
1338531763
142255dd96
15151493dc
hexda34c00

228805632 has 264 divisors, whose sum is σ = 752346192. Its totient is φ = 66355200.

The previous prime is 228805631. The next prime is 228805639. The reversal of 228805632 is 236508822.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is not an unprimeable number, because it can be changed into a prime (228805631) 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, 3750882 + ... + 3750942.

Almost surely, 2228805632 is an apocalyptic number.

228805632 is a gapful number since it is divisible by the number (22) 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 228805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376173096).

228805632 is an abundant number, since it is smaller than the sum of its proper divisors (523540560).

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

228805632 is a wasteful number, since it uses less digits than its factorization.

228805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 228805632 is about 15126.3224876372. The cubic root of 228805632 is about 611.6301751286.

The spelling of 228805632 in words is "two hundred twenty-eight million, eight hundred five thousand, six hundred thirty-two".