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2230760248 = 2323314753157
BaseRepresentation
bin1000010011110110…
…1011001100111000
312202110120100202221
42010331223030320
514032033311443
61005204533424
7106165102123
oct20475531470
95673510687
102230760248
11a4522a212
125230b1274
132972116a2
141723a73ba
15d0c95eed
hex84f6b338

2230760248 has 128 divisors (see below), whose sum is σ = 4717854720. Its totient is φ = 985121280.

The previous prime is 2230760239. The next prime is 2230760263. The reversal of 2230760248 is 8420670322.

2230760248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22307602483 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14208586 + ... + 14208742.

It is an arithmetic number, because the mean of its divisors is an integer number (36858240).

Almost surely, 22230760248 is an apocalyptic number.

It is an amenable number.

2230760248 is an abundant number, since it is smaller than the sum of its proper divisors (2487094472).

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

2230760248 is a wasteful number, since it uses less digits than its factorization.

2230760248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2230760248 is about 47230.9246998193. The cubic root of 2230760248 is about 1306.6250065967.

The spelling of 2230760248 in words is "two billion, two hundred thirty million, seven hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 23 31 46 47 53 62 92 94 106 124 157 184 188 212 248 314 376 424 628 713 1081 1219 1256 1426 1457 1643 2162 2438 2491 2852 2914 3286 3611 4324 4867 4876 4982 5704 5828 6572 7222 7379 8321 8648 9734 9752 9964 11656 13144 14444 14758 16642 19468 19928 28888 29516 33284 33511 37789 38936 57293 59032 66568 67022 75578 77221 111941 114586 134044 151156 154442 169717 191383 223882 228749 229172 257951 268088 302312 308884 339434 382766 391087 447764 457498 458344 515902 617768 678868 765532 782174 895528 914996 1031804 1357736 1531064 1564348 1776083 1829992 2063608 3128696 3552166 5261227 5932873 7104332 8995001 10522454 11865746 12123697 14208664 17990002 21044908 23731492 24247394 35980004 42089816 47462984 48494788 71960008 96989576 278845031 557690062 1115380124 2230760248