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228001032 = 233273114593
BaseRepresentation
bin11011001011100…
…00010100001000
3120220000122121200
431211300110020
5431332013112
634342504200
75435656020
oct1545602410
9526018550
10228001032
11107778606
1264435060
133830c46c
14223d0a80
151503acdc
hexd970508

228001032 has 96 divisors (see below), whose sum is σ = 728532480. Its totient is φ = 63037440.

The previous prime is 228001027. The next prime is 228001043. The reversal of 228001032 is 230100822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 228000996 and 228001014.

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 23 ways as a sum of consecutive naturals, for example, 8328 + ... + 22920.

It is an arithmetic number, because the mean of its divisors is an integer number (7588880).

Almost surely, 2228001032 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 228001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364266240).

228001032 is an abundant number, since it is smaller than the sum of its proper divisors (500531448).

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

228001032 is a wasteful number, since it uses less digits than its factorization.

228001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14643 (or 14636 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228001032 is about 15099.7030434376. The cubic root of 228001032 is about 610.9123961537.

Adding to 228001032 its reverse (230100822), we get a palindrome (458101854).

It can be divided in two parts, 22800 and 1032, that added together give a palindrome (23832).

The spelling of 228001032 in words is "two hundred twenty-eight million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 14593 15624 29186 43779 58372 87558 102151 116744 131337 175116 204302 262674 306453 350232 408604 452383 525348 612906 817208 904766 919359 1050696 1225812 1357149 1809532 1838718 2451624 2714298 3166681 3619064 3677436 4071447 5428596 6333362 7354872 8142894 9500043 10857192 12666724 16285788 19000086 25333448 28500129 32571576 38000172 57000258 76000344 114000516 228001032