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228636744 = 233722379107
BaseRepresentation
bin11011010000010…
…11100001001000
3120221012221122120
431220023201020
5432012333434
634404251240
75444244300
oct1550134110
9527187576
10228636744
11108072196
12646a0b20
13384a291b
1422518600
1515114349
hexda0b848

228636744 has 192 divisors, whose sum is σ = 709171200. Its totient is φ = 61117056.

The previous prime is 228636743. The next prime is 228636769. The reversal of 228636744 is 447636822.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 228636696 and 228636705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228636743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2136739 + ... + 2136845.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2228636744 is an apocalyptic number.

228636744 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 228636744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

228636744 is an abundant number, since it is smaller than the sum of its proper divisors (480534456).

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

228636744 is a wasteful number, since it uses less digits than its factorization.

228636744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 228636744 is about 15120.7388708356. The cubic root of 228636744 is about 611.4796508283.

The spelling of 228636744 in words is "two hundred twenty-eight million, six hundred thirty-six thousand, seven hundred forty-four".