Search a number
-
+
220444223422302 = 232112695953695257
BaseRepresentation
bin110010000111111000101011…
…101000010011111101011110
31001220112021001221211112221200
4302013320223220103331132
5212343224232144003202
62100502402253140330
764301366234203665
oct6207705350237536
91056467057745850
10220444223422302
1164270963175480
122088369848a6a6
139600a54c50249
143c617b34c3ddc
151a743d7eaee1c
hexc87e2ba13f5e

220444223422302 has 96 divisors (see below), whose sum is σ = 523075576439520. Its totient is φ = 66541672488960.

The previous prime is 220444223422237. The next prime is 220444223422327. The reversal of 220444223422302 is 203224322444022.

220444223422302 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 4 + 4 + 2 + 2 + 342 + 2 + 302 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316721058 + ... + 317416314.

It is an arithmetic number, because the mean of its divisors is an integer number (5448703921245).

Almost surely, 2220444223422302 is an apocalyptic number.

220444223422302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220444223422302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261537788219760).

220444223422302 is an abundant number, since it is smaller than the sum of its proper divisors (302631353017218).

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

220444223422302 is a wasteful number, since it uses less digits than its factorization.

220444223422302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701498 (or 701495 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 220444223422302 its reverse (203224322444022), we get a palindrome (423668545866324).

The spelling of 220444223422302 in words is "two hundred twenty trillion, four hundred forty-four billion, two hundred twenty-three million, four hundred twenty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 538 807 1614 2421 2959 4842 5918 5953 8877 11906 17754 17859 26631 35718 53262 53577 65483 107154 130966 196449 392898 589347 695257 1178694 1390514 1601357 2085771 3202714 4171542 4804071 6257313 7647827 9608142 12514626 14412213 15295654 17614927 22943481 28824426 35229854 45886962 52844781 68830443 105689562 137660886 158534343 187024133 317068686 374048266 561072399 1122144798 1683217197 2057265463 3366434394 4114530926 4138864921 6171796389 8277729842 12343592778 12416594763 18515389167 24833189526 37030778334 37249784289 45527514131 74499568578 91055028262 136582542393 273165084786 409747627179 819495254358 1113354663749 2226709327498 3340063991247 6680127982494 10020191973741 12246901301239 20040383947482 24493802602478 36740703903717 73481407807434 110222111711151 220444223422302