Search a number
-
+
1222664080 = 245115923549
BaseRepresentation
bin100100011100000…
…0101111110010000
310011012122202210211
41020320011332100
510001000222310
6321153533504
742204321211
oct11070057620
93135582724
101222664080
11578186690
122a1574294
131663cb391
14b854d408
1572515c8a
hex48e05f90

1222664080 has 80 divisors (see below), whose sum is σ = 3153816000. Its totient is φ = 437050880.

The previous prime is 1222664077. The next prime is 1222664081. The reversal of 1222664080 is 804662221.

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

It is not an unprimeable number, because it can be changed into a prime (1222664081) 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 15 ways as a sum of consecutive naturals, for example, 40146 + ... + 63694.

It is an arithmetic number, because the mean of its divisors is an integer number (39422700).

Almost surely, 21222664080 is an apocalyptic number.

1222664080 is a gapful number since it is divisible by the number (10) 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 1222664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576908000).

1222664080 is an abundant number, since it is smaller than the sum of its proper divisors (1931151920).

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

1222664080 is a wasteful number, since it uses less digits than its factorization.

1222664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23632 (or 23626 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1222664080 is about 34966.6137908720. The cubic root of 1222664080 is about 1069.3069375654.

The spelling of 1222664080 in words is "one billion, two hundred twenty-two million, six hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 23549 25960 47098 51920 94196 117745 188392 235490 259039 376784 470980 518078 941960 1036156 1295195 1389391 1883920 2072312 2590390 2778782 4144624 5180780 5557564 6946955 10361560 11115128 13893910 15283301 20723120 22230256 27787820 30566602 55575640 61133204 76416505 111151280 122266408 152833010 244532816 305666020 611332040 1222664080