Search a number
-
+
32200020000032 = 2559731371705339
BaseRepresentation
bin1110101001001001001101…
…10000001111110100100000
311020000021212202110101211112
413110210212300033310200
513210031120110000112
6152252252431002452
76532242341010353
oct724444660176440
9136007782411745
1032200020000032
11a294a51923395
1237406b5669428
1314c75ab1a5c11
147d46bc84629a
153ac8e2d7ba22
hex1d4926c0fd20

32200020000032 has 96 divisors (see below), whose sum is σ = 65828443262400. Its totient is φ = 15496365477888.

The previous prime is 32200019999971. The next prime is 32200020000107. The reversal of 32200020000032 is 23000002000223.

It is a junction number, because it is equal to n+sod(n) for n = 32200019999971 and 32200020000016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18029219 + ... + 19734557.

It is an arithmetic number, because the mean of its divisors is an integer number (685712950650).

Almost surely, 232200020000032 is an apocalyptic number.

32200020000032 is a gapful number since it is divisible by the number (32) 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 32200020000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32914221631200).

32200020000032 is an abundant number, since it is smaller than the sum of its proper divisors (33628423262368).

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

32200020000032 is a wasteful number, since it uses less digits than its factorization.

32200020000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705618 (or 1705610 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 32200020000032 its reverse (23000002000223), we get a palindrome (55200022000255).

The spelling of 32200020000032 in words is "thirty-two trillion, two hundred billion, twenty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 59 73 118 137 146 236 274 292 472 548 584 944 1096 1168 1888 2192 2336 4307 4384 8083 8614 10001 16166 17228 20002 32332 34456 40004 64664 68912 80008 129328 137824 160016 258656 320032 590059 1180118 1705339 2360236 3410678 4720472 6821356 9440944 13642712 18881888 27285424 54570848 100615001 124489747 201230002 233631443 248979494 402460004 467262886 497958988 804920008 934525772 995917976 1609840016 1869051544 1991835952 3219680032 3738103088 3983671904 7344895073 7476206176 13784255137 14689790146 17055095339 27568510274 29379580292 34110190678 55137020548 58759160584 68220381356 110274041096 117518321168 136440762712 220548082192 235036642336 272881525424 441096164384 545763050848 1006250625001 2012501250002 4025002500004 8050005000008 16100010000016 32200020000032