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2219194172416 = 21013235812
BaseRepresentation
bin100000010010110010010…
…001111100010000000000
321212011010110100112002011
4200102302101330100000
5242324402202004131
64415252252502304
7316221462141304
oct40226221742000
97764113315064
102219194172416
1178617828a8a1
122ba11777a994
13131366317900
14795a3c11d04
153cad65940b1
hex204b247c400

2219194172416 has 99 divisors (see below), whose sum is σ = 4805060594943. Its totient is φ = 1023957442560.

The previous prime is 2219194172411. The next prime is 2219194172423. The reversal of 2219194172416 is 6142714919122.

The square root of 2219194172416 is 1489696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7715865600 + 2211478306816 = 87840^2 + 1487104^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2219194172416.

It is not an unprimeable number, because it can be changed into a prime (2219194172411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 619711746 + ... + 619715326.

Almost surely, 22219194172416 is an apocalyptic number.

2219194172416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2219194172416 is the 1489696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219194172416

2219194172416 is an abundant number, since it is smaller than the sum of its proper divisors (2585866422527).

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

2219194172416 is an frugal number, since it uses more digits than its factorization.

2219194172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208 (or 3596 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

Multiplying 2219194172416 by its sum of digits (49), we get a square (108740514448384 = 104278722).

The spelling of 2219194172416 in words is "two trillion, two hundred nineteen billion, one hundred ninety-four million, one hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 3581 5408 6656 7162 10816 13312 14324 21632 28648 43264 46553 57296 86528 93106 114592 173056 186212 229184 372424 458368 605189 744848 916736 1210378 1489696 1833472 2420756 2979392 3666944 4841512 5958784 9683024 11917568 12823561 19366048 23835136 25647122 38732096 47670272 51294244 77464192 102588488 154928384 166706293 205176976 309856768 333412586 410353952 619713536 666825172 820707904 1333650344 1641415808 2167181809 2667300688 3282831616 4334363618 5334601376 6565663232 8668727236 10669202752 13131326464 17337454472 21338405504 34674908944 42676811008 69349817888 85353622016 138699635776 170707244032 277399271552 554798543104 1109597086208 2219194172416