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228344448 = 2734313829
BaseRepresentation
bin11011001110001…
…00001010000000
3120220200002200210
431213010022000
5431424010243
634354114120
75441616153
oct1547041200
9526602623
10228344448
11107992622
126457b940
13383cc877
142247dc9a
15150a7933
hexd9c4280

228344448 has 64 divisors (see below), whose sum is σ = 620690400. Its totient is φ = 74339328.

The previous prime is 228344447. The next prime is 228344477. The reversal of 228344448 is 844443822.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228344443) 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, 9598 + ... + 23426.

Almost surely, 2228344448 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 228344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310345200).

228344448 is an abundant number, since it is smaller than the sum of its proper divisors (392345952).

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

228344448 is a wasteful number, since it uses less digits than its factorization.

228344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889 (or 13877 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

The square root of 228344448 is about 15111.0703790301. The cubic root of 228344448 is about 611.2189617940.

The spelling of 228344448 in words is "two hundred twenty-eight million, three hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 13829 16512 27658 41487 55316 82974 110632 165948 221264 331896 442528 594647 663792 885056 1189294 1327584 1770112 1783941 2378588 2655168 3567882 4757176 5310336 7135764 9514352 14271528 19028704 28543056 38057408 57086112 76114816 114172224 228344448