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993228660 = 2232512134549
BaseRepresentation
bin111011001100110…
…111011101110100
32120012221020120200
4323030313131310
54013231304120
6242320200500
733420206244
oct7314673564
92505836520
10993228660
1146a719436
12238769130
1312aa09088
1495ca7b24
155c2e4e90
hex3b337774

993228660 has 72 divisors (see below), whose sum is σ = 3015940200. Its totient is φ = 264584448.

The previous prime is 993228653. The next prime is 993228661. The reversal of 993228660 is 66822399.

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 970073316 = 4812^2 + 31146^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993228661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216066 + ... + 220614.

Almost surely, 2993228660 is an apocalyptic number.

993228660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993228660 is an abundant number, since it is smaller than the sum of its proper divisors (2022711540).

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

993228660 is a wasteful number, since it uses less digits than its factorization.

993228660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 993228660 is about 31515.5304572206. The cubic root of 993228660 is about 997.7377728541.

The spelling of 993228660 in words is "nine hundred ninety-three million, two hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1213 2426 3639 4549 4852 6065 7278 9098 10917 12130 13647 14556 18195 18196 21834 22745 24260 27294 36390 40941 43668 45490 54585 54588 68235 72780 81882 90980 109170 136470 163764 204705 218340 272940 409410 818820 5517937 11035874 16553811 22071748 27589685 33107622 49661433 55179370 66215244 82769055 99322866 110358740 165538110 198645732 248307165 331076220 496614330 993228660