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1223032240 = 24553594889
BaseRepresentation
bin100100011100101…
…1111110110110000
310011020100110211101
41020321133312300
510001044012430
6321205454144
742210413443
oct11071376660
93136313741
101223032240
11578408251
122a1711354
131664c9b21
14b860765a
1572589dca
hex48e5fdb0

1223032240 has 80 divisors (see below), whose sum is σ = 2946909600. Its totient is φ = 471750656.

The previous prime is 1223032231. The next prime is 1223032277. The reversal of 1223032240 is 422303221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247716 + ... + 252604.

It is an arithmetic number, because the mean of its divisors is an integer number (36836370).

Almost surely, 21223032240 is an apocalyptic number.

1223032240 is a gapful number since it is divisible by the number (10) 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 1223032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473454800).

1223032240 is an abundant number, since it is smaller than the sum of its proper divisors (1723877360).

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

1223032240 is a wasteful number, since it uses less digits than its factorization.

1223032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1223032240 is about 34971.8778449199. The cubic root of 1223032240 is about 1069.4142541869.

Adding to 1223032240 its reverse (422303221), we get a palindrome (1645335461).

The spelling of 1223032240 in words is "one billion, two hundred twenty-three million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 59 80 106 118 212 236 265 295 424 472 530 590 848 944 1060 1180 2120 2360 3127 4240 4720 4889 6254 9778 12508 15635 19556 24445 25016 31270 39112 48890 50032 62540 78224 97780 125080 195560 250160 259117 288451 391120 518234 576902 1036468 1153804 1295585 1442255 2072936 2307608 2591170 2884510 4145872 4615216 5182340 5769020 10364680 11538040 15287903 20729360 23076080 30575806 61151612 76439515 122303224 152879030 244606448 305758060 611516120 1223032240