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2235312049216 = 2637250512
BaseRepresentation
bin100000100001110010111…
…110110000110001000000
321220200201201222111110011
4200201302332300301000
5243110404341033331
64430515502514304
7320332054630621
oct40416276606100
97820651874404
102235312049216
11791a99417234
12301275595994
13132a3463350c
147a2926a9a48
153d22b5c13b1
hex20872fb0c40

2235312049216 has 63 divisors (see below), whose sum is σ = 4559723896917. Its totient is φ = 1087233811200.

The previous prime is 2235312049213. The next prime is 2235312049231. The reversal of 2235312049216 is 6129402135322.

The square root of 2235312049216 is 1495096.

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

It can be written as a sum of positive squares in only one way, i.e., 2000187918400 + 235124130816 = 1414280^2 + 484896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2235312049213) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 442545891 + ... + 442550941.

Almost surely, 22235312049216 is an apocalyptic number.

2235312049216 is the 1495096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235312049216

2235312049216 is an abundant number, since it is smaller than the sum of its proper divisors (2324411847701).

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

2235312049216 is an frugal number, since it uses more digits than its factorization.

2235312049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 2235312049216 in words is "two trillion, two hundred thirty-five billion, three hundred twelve million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2738 5051 5476 10102 10952 20204 21904 40408 43808 80816 87616 161632 186887 323264 373774 747548 1495096 2990192 5980384 6914819 11960768 13829638 25512601 27659276 51025202 55318552 102050404 110637104 204100808 221274208 408201616 442548416 816403232 943966237 1632806464 1887932474 3775864948 7551729896 15103459792 30206919584 34926750769 60413839168 69853501538 139707003076 279414006152 558828012304 1117656024608 2235312049216