Search a number
-
+
223220164467280 = 24517612690696293
BaseRepresentation
bin110010110000010001111110…
…100111000001101001010000
31002021100122021001122121010011
4302300101332213001221100
5213224214344100423110
62110425532231444304
765006060523601051
oct6260217647015120
91067318231577104
10223220164467280
116514115a55aa52
1221051691526694
139772756b92506
143d19cb0d14728
151ac1706ee548a
hexcb047e9c1a50

223220164467280 has 80 divisors (see below), whose sum is σ = 558523973923344. Its totient is φ = 82658190090240.

The previous prime is 223220164467269. The next prime is 223220164467281. The reversal of 223220164467280 is 82764461022322.

It can be written as a sum of positive squares in 8 ways, for example, as 3023175057984 + 220196989409296 = 1738728^2 + 14839036^2 .

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

It is a super-3 number, since 3×2232201644672803 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223220164467281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345265187 + ... + 1345431106.

Almost surely, 2223220164467280 is an apocalyptic number.

223220164467280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223220164467280 is an abundant number, since it is smaller than the sum of its proper divisors (335303809456064).

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

223220164467280 is a wasteful number, since it uses less digits than its factorization.

223220164467280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690696384 (or 2690696378 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 223220164467280 in words is "two hundred twenty-three trillion, two hundred twenty billion, one hundred sixty-four million, four hundred sixty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 122 136 170 244 272 305 340 488 610 680 976 1037 1220 1360 2074 2440 4148 4880 5185 8296 10370 16592 20740 41480 82960 2690696293 5381392586 10762785172 13453481465 21525570344 26906962930 43051140688 45741836981 53813925860 91483673962 107627851720 164132473873 182967347924 215255703440 228709184905 328264947746 365934695848 457418369810 656529895492 731869391696 820662369365 914836739620 1313059790984 1641324738730 1829673479240 2626119581968 2790252055841 3282649477460 3659346958480 5580504111682 6565298954920 11161008223364 13130597909840 13951260279205 22322016446728 27902520558410 44644032893456 55805041116820 111610082233640 223220164467280