Search a number
-
+
1220553214056 = 2332112953141467
BaseRepresentation
bin10001110000101110101…
…001000000100001101000
311022200110110012120020200
4101300232221000201220
5124444143110322211
62332414151152200
7154116306065631
oct21605651004150
94280413176220
101220553214056
114306a7519010
12178674975660
138b136789a27
144310a098888
1521b392d1b56
hex11c2ea40868

1220553214056 has 96 divisors (see below), whose sum is σ = 3730531053600. Its totient is φ = 357110651520.

The previous prime is 1220553214051. The next prime is 1220553214057. The reversal of 1220553214056 is 6504123550221.

1220553214056 is a `hidden beast` number, since 1 + 220 + 5 + 5 + 3 + 21 + 405 + 6 = 666.

It is a super-2 number, since 2×12205532140562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1220553214056.

It is not an unprimeable number, because it can be changed into a prime (1220553214051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26547766 + ... + 26593701.

It is an arithmetic number, because the mean of its divisors is an integer number (38859698475).

Almost surely, 21220553214056 is an apocalyptic number.

It is an amenable number.

1220553214056 is an abundant number, since it is smaller than the sum of its proper divisors (2509977839544).

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

1220553214056 is a wasteful number, since it uses less digits than its factorization.

1220553214056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53141519 (or 53141512 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1220553214056 its reverse (6504123550221), we get a palindrome (7724676764277).

The spelling of 1220553214056 in words is "one trillion, two hundred twenty billion, five hundred fifty-three million, two hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 11484 22968 53141467 106282934 159424401 212565868 318848802 425131736 478273203 584556137 637697604 956546406 1169112274 1275395208 1541102543 1753668411 1913092812 2338224548 3082205086 3507336822 3826185624 4623307629 4676449096 5261005233 6164410172 7014673644 9246615258 10522010466 12328820344 13869922887 14029347288 16952127973 18493230516 21044020932 27739845774 33904255946 36986461032 42088041864 50856383919 55479691548 67808511892 101712767838 110959383096 135617023784 152569151757 203425535676 305138303514 406851071352 610276607028 1220553214056