Search a number
-
+
2220755077112 = 23111331103607961
BaseRepresentation
bin100000010100001111010…
…100010100011111111000
321212022011020110200210012
4200110033110110133320
5242341101244431422
64420111212241052
7316305244461665
oct40241724243770
97768136420705
102220755077112
117868a9389680
122ba492470188
13131554812860
14796b124aa6c
153cb7861e4e2
hex2050f5147f8

2220755077112 has 128 divisors (see below), whose sum is σ = 5098709790720. Its totient is φ = 892971648000.

The previous prime is 2220755077063. The next prime is 2220755077147. The reversal of 2220755077112 is 2117705570222.

It is a super-2 number, since 2×22207550771122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2220755077112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3348812 + ... + 3956772.

It is an arithmetic number, because the mean of its divisors is an integer number (39833670240).

Almost surely, 22220755077112 is an apocalyptic number.

2220755077112 is a gapful number since it is divisible by the number (22) 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 2220755077112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549354895360).

2220755077112 is an abundant number, since it is smaller than the sum of its proper divisors (2877954713608).

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

2220755077112 is a wasteful number, since it uses less digits than its factorization.

2220755077112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608125 (or 608121 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 41.

The spelling of 2220755077112 in words is "two trillion, two hundred twenty billion, seven hundred fifty-five million, seventy-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 103 104 124 143 206 248 286 341 403 412 572 682 806 824 1133 1144 1339 1364 1612 2266 2678 2728 3193 3224 4433 4532 5356 6386 8866 9064 10712 12772 14729 17732 25544 29458 35123 35464 41509 58916 70246 83018 117832 140492 166036 280984 332072 456599 607961 913198 1215922 1826396 2431844 3652792 4863688 6687571 7903493 13375142 15806986 18846791 26750284 31613972 37693582 53500568 62619983 63227944 75387164 86938423 125239966 150774328 173876846 207314701 245008283 250479932 347753692 414629402 490016566 500959864 688819813 695507384 814059779 829258804 980033132 1377639626 1628119558 1658517608 1941219473 1960066264 2695091113 2755279252 3256239116 3882438946 5390182226 5510558504 6512478232 7764877892 8954657569 10780364452 15529755784 17909315138 21353414203 21560728904 25235853149 35818630276 42706828406 50471706298 71637260552 85413656812 100943412596 170827313624 201886825192 277594384639 555188769278 1110377538556 2220755077112