Search a number
-
+
220244655252 = 2231716321131391
BaseRepresentation
bin1100110100011110011…
…0101011110010010100
3210001111020011201122210
43031013212223302110
512102030112432002
6245102355153420
721624603452346
oct3150746536224
9701436151583
10220244655252
1185450403346
12368275a5870
13179cc5b781b
14a934a91296
155ae091a96c
hex33479abc94

220244655252 has 96 divisors (see below), whose sum is σ = 550084276224. Its totient is φ = 68344819200.

The previous prime is 220244655247. The next prime is 220244655263. The reversal of 220244655252 is 252556442022.

It is a self number, because there is not a number n which added to its sum of digits gives 220244655252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7000477 + ... + 7031867.

It is an arithmetic number, because the mean of its divisors is an integer number (5730044544).

Almost surely, 2220244655252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220244655252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275042138112).

220244655252 is an abundant number, since it is smaller than the sum of its proper divisors (329839620972).

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

220244655252 is a wasteful number, since it uses less digits than its factorization.

220244655252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31789 (or 31787 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 220244655252 in words is "two hundred twenty billion, two hundred forty-four million, six hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 163 204 211 326 422 489 633 652 844 978 1266 1956 2532 2771 3587 5542 7174 8313 10761 11084 14348 16626 21522 31391 33252 34393 43044 62782 68786 94173 103179 125564 137572 188346 206358 376692 412716 533647 584681 1067294 1169362 1600941 1754043 2134588 2338724 3201882 3508086 5116733 6403764 6623501 7016172 10233466 13247002 15350199 19870503 20466932 26494004 30700398 39741006 61400796 79482012 86984461 112599517 173968922 225199034 260953383 337798551 347937844 450398068 521906766 675597102 1043813532 1079630663 1351194204 2159261326 3238891989 4318522652 6477783978 12955567956 18353721271 36707442542 55061163813 73414885084 110122327626 220244655252