Search a number
-
+
93227940 = 223251339841
BaseRepresentation
bin1011000111010…
…00101110100100
320111102110200200
411203220232210
5142331243230
613130110500
72211265401
oct543505644
9214373620
1093227940
1148696593
122727b430
1316412280
14c54b2a8
1582b8160
hex58e8ba4

93227940 has 72 divisors (see below), whose sum is σ = 304552248. Its totient is φ = 22947840.

The previous prime is 93227933. The next prime is 93227941. The reversal of 93227940 is 4972239.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 93199716 = 168^2 + 9654^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 93227895 and 93227904.

It is not an unprimeable number, because it can be changed into a prime (93227941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17581 + ... + 22260.

Almost surely, 293227940 is an apocalyptic number.

93227940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93227940 is an abundant number, since it is smaller than the sum of its proper divisors (211324308).

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

93227940 is a wasteful number, since it uses less digits than its factorization.

93227940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39869 (or 39864 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93227940 is about 9655.4616668495. The cubic root of 93227940 is about 453.4353372445.

The spelling of 93227940 in words is "ninety-three million, two hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 39841 79682 119523 159364 199205 239046 358569 398410 478092 517933 597615 717138 796820 1035866 1195230 1434276 1553799 1792845 2071732 2390460 2589665 3107598 3585690 4661397 5179330 6215196 7171380 7768995 9322794 10358660 15537990 18645588 23306985 31075980 46613970 93227940