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203228064 = 2532131731103
BaseRepresentation
bin11000001110100…
…00001110100000
3112011102001111100
430013100032200
5404011244224
632055514400
75015260434
oct1407201640
9464361440
10203228064
11a4798286
1258088a00
13331476c0
141cdc29c4
1512c95ac9
hexc1d03a0

203228064 has 288 divisors, whose sum is σ = 686859264. Its totient is φ = 56401920.

The previous prime is 203228041. The next prime is 203228071. The reversal of 203228064 is 460822302.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1973037 + ... + 1973139.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 2203228064 is an apocalyptic number.

203228064 is a gapful number since it is divisible by the number (24) 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 203228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343429632).

203228064 is an abundant number, since it is smaller than the sum of its proper divisors (483631200).

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

203228064 is a wasteful number, since it uses less digits than its factorization.

203228064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 203228064 is about 14255.8080795162. The cubic root of 203228064 is about 587.9330758207.

The spelling of 203228064 in words is "two hundred three million, two hundred twenty-eight thousand, sixty-four".