Search a number
-
+
222131313300 = 2235213151377197
BaseRepresentation
bin1100111011100000001…
…1101101101010010100
3210020100201020212221210
43032320003231222110
512114411104011200
6250013512541420
722022423003211
oct3167003555224
9706321225853
10222131313300
1186229376476
12370733b1870
1317c40429630
14aa73484b08
155ba1390650
hex33b80eda94

222131313300 has 144 divisors (see below), whose sum is σ = 696723934592. Its totient is φ = 54316224000.

The previous prime is 222131313251. The next prime is 222131313323. The reversal of 222131313300 is 3313131222.

222131313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 400302 + ... + 777498.

Almost surely, 2222131313300 is an apocalyptic number.

222131313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222131313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348361967296).

222131313300 is an abundant number, since it is smaller than the sum of its proper divisors (474592621292).

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

222131313300 is a wasteful number, since it uses less digits than its factorization.

222131313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377378 (or 377371 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 222131313300 its reverse (3313131222), we get a palindrome (225444444522).

The spelling of 222131313300 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 151 156 195 260 300 302 325 390 453 604 650 755 780 906 975 1300 1510 1812 1950 1963 2265 3020 3775 3900 3926 4530 5889 7550 7852 9060 9815 11325 11778 15100 19630 22650 23556 29445 39260 45300 49075 58890 98150 117780 147225 196300 294450 377197 588900 754394 1131591 1508788 1885985 2263182 3771970 4526364 4903561 5657955 7543940 9429925 9807122 11315910 14710683 18859850 19614244 22631820 24517805 28289775 29421366 37719700 49035610 56579550 56956747 58842732 73553415 98071220 113159100 113913494 122589025 147106830 170870241 227826988 245178050 284783735 294213660 341740482 367767075 490356100 569567470 683480964 735534150 740437711 854351205 1139134940 1423918675 1471068300 1480875422 1708702410 2221313133 2847837350 2961750844 3417404820 3702188555 4271756025 4442626266 5695674700 7404377110 8543512050 8885252532 11106565665 14808754220 17087024100 18510942775 22213131330 37021885550 44426262660 55532828325 74043771100 111065656650 222131313300