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1146225660 = 223547894567
BaseRepresentation
bin100010001010010…
…0000001111111100
32221212211022000020
41010110200033330
54321413210120
6305423332140
740255520526
oct10424401774
92855738006
101146225660
11539018338
1227ba51050
13153617148
14ac332a16
156a967640
hex445203fc

1146225660 has 96 divisors (see below), whose sum is σ = 3315271680. Its totient is φ = 295730688.

The previous prime is 1146225659. The next prime is 1146225671. The reversal of 1146225660 is 665226411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248697 + ... + 253263.

It is an arithmetic number, because the mean of its divisors is an integer number (34534080).

Almost surely, 21146225660 is an apocalyptic number.

1146225660 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 1146225660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657635840).

1146225660 is an abundant number, since it is smaller than the sum of its proper divisors (2169046020).

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

1146225660 is a wasteful number, since it uses less digits than its factorization.

1146225660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1146225660 is about 33855.9545722758. The cubic root of 1146225660 is about 1046.5421124228.

The spelling of 1146225660 in words is "one billion, one hundred forty-six million, two hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 89 94 141 178 188 235 267 282 356 445 470 534 564 705 890 940 1068 1335 1410 1780 2670 2820 4183 4567 5340 8366 9134 12549 13701 16732 18268 20915 22835 25098 27402 41830 45670 50196 54804 62745 68505 83660 91340 125490 137010 214649 250980 274020 406463 429298 643947 812926 858596 1073245 1219389 1287894 1625852 2032315 2146490 2438778 2575788 3219735 4064630 4292980 4877556 6096945 6439470 8129260 12193890 12878940 19103761 24387780 38207522 57311283 76415044 95518805 114622566 191037610 229245132 286556415 382075220 573112830 1146225660