Search a number
-
+
31223314000 = 245329538333
BaseRepresentation
bin11101000101000011…
…011111011001010000
32222121000011200201001
4131011003133121100
51002421132022000
622202131551344
72153512534654
oct350503373120
988530150631
1031223314000
1112272823a3a
12607475b554
132c37960238
141722ac6a64
15c2b21c46a
hex7450df650

31223314000 has 80 divisors (see below), whose sum is σ = 78101496720. Its totient is φ = 12058636800.

The previous prime is 31223313977. The next prime is 31223314009. The reversal of 31223314000 is 41332213.

It can be written as a sum of positive squares in 8 ways, for example, as 16279718464 + 14943595536 = 127592^2 + 122244^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223314009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 211167 + ... + 327166.

It is an arithmetic number, because the mean of its divisors is an integer number (976268709).

Almost surely, 231223314000 is an apocalyptic number.

It is an amenable number.

31223314000 is an abundant number, since it is smaller than the sum of its proper divisors (46878182720).

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

31223314000 is a wasteful number, since it uses less digits than its factorization.

31223314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538385 (or 538369 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 31223314000 its reverse (41332213), we get a palindrome (31264646213).

The spelling of 31223314000 in words is "thirty-one billion, two hundred twenty-three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 538333 1076666 2153332 2691665 4306664 5383330 8613328 10766660 13458325 15611657 21533320 26916650 31223314 43066640 53833300 62446628 67291625 78058285 107666600 124893256 134583250 156116570 215333200 249786512 269166500 312233140 390291425 538333000 624466280 780582850 1076666000 1248932560 1561165700 1951457125 3122331400 3902914250 6244662800 7805828500 15611657000 31223314000