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228217664 = 2619593181
BaseRepresentation
bin11011001101001…
…01001101000000
3120220102122210002
431212211031000
5431410431124
634351255132
75440550423
oct1546451500
9526378702
10228217664
11107906344
126451a4a8
1338386c4c
14224499ba
15150800ae
hexd9a5340

228217664 has 56 divisors (see below), whose sum is σ = 484936800. Its totient is φ = 106237440.

The previous prime is 228217597. The next prime is 228217667. The reversal of 228217664 is 466712822.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228217667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70154 + ... + 73334.

Almost surely, 2228217664 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 228217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242468400).

228217664 is an abundant number, since it is smaller than the sum of its proper divisors (256719136).

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

228217664 is a wasteful number, since it uses less digits than its factorization.

228217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3261 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 228217664 is about 15106.8747264284. The cubic root of 228217664 is about 611.1058182045.

The spelling of 228217664 in words is "two hundred twenty-eight million, two hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 152 236 304 472 608 944 1121 1216 1888 2242 3181 3776 4484 6362 8968 12724 17936 25448 35872 50896 60439 71744 101792 120878 187679 203584 241756 375358 483512 750716 967024 1501432 1934048 3002864 3565901 3868096 6005728 7131802 12011456 14263604 28527208 57054416 114108832 228217664