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228162384 = 243213911399
BaseRepresentation
bin11011001100101…
…11101101010000
3120220022211221200
431212113231100
5431402144014
634350151200
75440230312
oct1546275520
9526284850
10228162384
1110787885a
12644b2500
1338367a38
14224337b2
151506da09
hexd997b50

228162384 has 60 divisors (see below), whose sum is σ = 643188000. Its totient is φ = 75500352.

The previous prime is 228162379. The next prime is 228162409. The reversal of 228162384 is 483261822.

228162384 is a `hidden beast` number, since 2 + 28 + 1 + 623 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14317 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (10719800).

Almost surely, 2228162384 is an apocalyptic number.

228162384 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 228162384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594000).

228162384 is an abundant number, since it is smaller than the sum of its proper divisors (415025616).

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

228162384 is a wasteful number, since it uses less digits than its factorization.

228162384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552 (or 11543 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 228162384 is about 15105.0449850373. The cubic root of 228162384 is about 611.0564725389.

It can be divided in two parts, 22816 and 2384, that added together give a triangular number (25200 = T224).

The spelling of 228162384 in words is "two hundred twenty-eight million, one hundred sixty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 11399 20016 22798 34197 45596 68394 91192 102591 136788 182384 205182 273576 410364 547152 820728 1584461 1641456 3168922 4753383 6337844 9506766 12675688 14260149 19013532 25351376 28520298 38027064 57040596 76054128 114081192 228162384