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2248228422 = 23211291273083
BaseRepresentation
bin1000011000000001…
…0011111001000110
312210200102211121100
42012000103321012
514101021302142
61011031200530
7106466424546
oct20600237106
95720384540
102248228422
11a54080320
12528b16146
1329aa1959b
14174833326
15d2596b4c
hex86013e46

2248228422 has 96 divisors (see below), whose sum is σ = 5542318080. Its totient is φ = 652397760.

The previous prime is 2248228397. The next prime is 2248228457.

2248228422 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 228 + 422 = 666.

2248228422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22482284222 = 10109062074977220168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727693 + ... + 730775.

It is an arithmetic number, because the mean of its divisors is an integer number (57732480).

Almost surely, 22248228422 is an apocalyptic number.

2248228422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248228422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771159040).

2248228422 is an abundant number, since it is smaller than the sum of its proper divisors (3294089658).

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

2248228422 is a wasteful number, since it uses less digits than its factorization.

2248228422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3255 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 2248228422 is about 47415.4871534607. The cubic root of 2248228422 is about 1310.0266921508.

The spelling of 2248228422 in words is "two billion, two hundred forty-eight million, two hundred twenty-eight thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 127 174 198 254 261 319 381 522 638 762 957 1143 1397 1914 2286 2794 2871 3083 3683 4191 5742 6166 7366 8382 9249 11049 12573 18498 22098 25146 27747 33147 33913 40513 55494 66294 67826 81026 89407 101739 121539 178814 203478 243078 268221 305217 364617 391541 536442 610434 729234 783082 804663 983477 1174623 1609326 1966954 2349246 2950431 3523869 4306951 5900862 7047738 8613902 8851293 11354689 12920853 17702586 22709378 25841706 34064067 38762559 68128134 77525118 102192201 124901579 204384402 249803158 374704737 749409474 1124114211 2248228422