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228488736 = 2537418293
BaseRepresentation
bin11011001111001…
…11011000100000
3120220221102121210
431213213120200
5431443114421
634401150120
75443056630
oct1547473040
9526842553
10228488736
11107a80a73
126462b340
1338450448
14224ba6c0
15150d5576
hexd9e7620

228488736 has 96 divisors (see below), whose sum is σ = 702269568. Its totient is φ = 63682560.

The previous prime is 228488731. The next prime is 228488747. The reversal of 228488736 is 637884822.

It is a happy number.

228488736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (228488731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23406 + ... + 31698.

It is an arithmetic number, because the mean of its divisors is an integer number (7315308).

Almost surely, 2228488736 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 228488736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351134784).

228488736 is an abundant number, since it is smaller than the sum of its proper divisors (473780832).

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

228488736 is a wasteful number, since it uses less digits than its factorization.

228488736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8346 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 228488736 is about 15115.8438732345. The cubic root of 228488736 is about 611.3476752254.

The spelling of 228488736 in words is "two hundred twenty-eight million, four hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 8293 9184 13776 16586 24879 27552 33172 49758 58051 66344 99516 116102 132688 174153 199032 232204 265376 340013 348306 398064 464408 680026 696612 796128 928816 1020039 1360052 1393224 1857632 2040078 2380091 2720104 2786448 4080156 4760182 5440208 5572896 7140273 8160312 9520364 10880416 14280546 16320624 19040728 28561092 32641248 38081456 57122184 76162912 114244368 228488736