Search a number
-
+
223733115450 = 232521341539209
BaseRepresentation
bin1101000001011110001…
…0000110101000111010
3210101111100022212102100
43100113202012220322
512131201134143300
6250440453044230
722110213050265
oct3202742065072
9711440285370
10223733115450
11869805690a9
123743b926676
1318137243760
14ab860c7cdc
155c46ce8700
hex3417886a3a

223733115450 has 144 divisors (see below), whose sum is σ = 647560662840. Its totient is φ = 55053527040.

The previous prime is 223733115427. The next prime is 223733115499. The reversal of 223733115450 is 54511337322.

223733115450 is a `hidden beast` number, since 2 + 23 + 73 + 3 + 115 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 46745466849 + 176987648601 = 216207^2 + 420699^2 .

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 71 ways as a sum of consecutive naturals, for example, 24290446 + ... + 24299654.

Almost surely, 2223733115450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223733115450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323780331420).

223733115450 is an abundant number, since it is smaller than the sum of its proper divisors (423827547390).

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

223733115450 is a wasteful number, since it uses less digits than its factorization.

223733115450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 223733115450 in words is "two hundred twenty-three billion, seven hundred thirty-three million, one hundred fifteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 4153 5850 8306 9209 12459 18418 20765 24918 27627 37377 41530 46045 53989 55254 62295 74754 82881 92090 103825 107978 119717 124590 138135 161967 165762 186885 207650 230225 239434 269945 276270 311475 323934 359151 373770 414405 460450 485901 539890 598585 622950 690675 718302 809835 828810 934425 971802 1077453 1197170 1349725 1381350 1619670 1795755 1868850 2072025 2154906 2429505 2699450 2992925 3591510 4049175 4144050 4859010 5387265 5985850 8098350 8978775 10774530 12147525 17957550 24295050 26936325 38244977 53872650 76489954 114734931 191224885 229469862 344204793 382449770 497184701 573674655 688409586 956124425 994369402 1147349310 1491554103 1721023965 1912248850 2485923505 2868373275 2983108206 3442047930 4474662309 4971847010 5736746550 7457770515 8605119825 8949324618 12429617525 14915541030 17210239650 22373311545 24859235050 37288852575 44746623090 74577705150 111866557725 223733115450