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228462208 = 2713251547
BaseRepresentation
bin11011001111000…
…00111010000000
3120220220002020021
431213200322000
5431441242313
634400423224
75442616402
oct1547407200
9526802207
10228462208
11107a63047
1264617b14
1338441350
14224b0b72
15150cc78d
hexd9e0e80

228462208 has 64 divisors (see below), whose sum is σ = 493002720. Its totient is φ = 104832000.

The previous prime is 228462193. The next prime is 228462211. The reversal of 228462208 is 802264822.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417391 + ... + 417937.

Almost surely, 2228462208 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 228462208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246501360).

228462208 is an abundant number, since it is smaller than the sum of its proper divisors (264540512).

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

228462208 is a wasteful number, since it uses less digits than its factorization.

228462208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 228462208 is about 15114.9663578852. The cubic root of 228462208 is about 611.3240147464.

The spelling of 228462208 in words is "two hundred twenty-eight million, four hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 251 416 502 547 832 1004 1094 1664 2008 2188 3263 4016 4376 6526 7111 8032 8752 13052 14222 16064 17504 26104 28444 32128 35008 52208 56888 70016 104416 113776 137297 208832 227552 274594 417664 455104 549188 910208 1098376 1784861 2196752 3569722 4393504 7139444 8787008 14278888 17574016 28557776 57115552 114231104 228462208