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228474960 = 243573141107
BaseRepresentation
bin11011001111001…
…00000001010000
3120220220201201120
431213210001100
5431442144320
634401002240
75443001520
oct1547440120
9526821646
10228474960
11107a7168a
1264623380
13384470ac
14224b5680
15150d1440
hexd9e4050

228474960 has 320 divisors, whose sum is σ = 863944704. Its totient is φ = 48844800.

The previous prime is 228474959. The next prime is 228474973. The reversal of 228474960 is 69474822.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2135227 + ... + 2135333.

Almost surely, 2228474960 is an apocalyptic number.

228474960 is a gapful number since it is divisible by the number (20) 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 228474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431972352).

228474960 is an abundant number, since it is smaller than the sum of its proper divisors (635469744).

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

228474960 is a wasteful number, since it uses less digits than its factorization.

228474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 228474960 is about 15115.3881855545. The cubic root of 228474960 is about 611.3353885587.

The spelling of 228474960 in words is "two hundred twenty-eight million, four hundred seventy-four thousand, nine hundred sixty".