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114236226 = 23213217472
BaseRepresentation
bin1101100111100…
…01101101000010
321221221210122100
412303301231002
5213221024401
615200251230
72554664136
oct663615502
9257853570
10114236226
1159535405
1232310b16
131a889600
14112593c6
15a067b86
hex6cf1b42

114236226 has 108 divisors (see below), whose sum is σ = 289947762. Its totient is φ = 32378112.

The previous prime is 114236203. The next prime is 114236237. The reversal of 114236226 is 622632411.

114236226 is a `hidden beast` number, since 1 + 14 + 23 + 622 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73977201 + 40259025 = 8601^2 + 6345^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114236226.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2430535 + ... + 2430581.

Almost surely, 2114236226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114236226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144973881).

114236226 is an abundant number, since it is smaller than the sum of its proper divisors (175711536).

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

114236226 is a wasteful number, since it uses less digits than its factorization.

114236226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 82 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114236226 is about 10688.1348232514. The cubic root of 114236226 is about 485.2154440139.

Adding to 114236226 its reverse (622632411), we get a palindrome (736868637).

The spelling of 114236226 in words is "one hundred fourteen million, two hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 47 51 78 94 102 117 141 153 169 221 234 282 306 338 423 442 507 611 663 799 846 1014 1222 1326 1521 1598 1833 1989 2209 2397 2873 3042 3666 3978 4418 4794 5499 5746 6627 7191 7943 8619 10387 10998 13254 14382 15886 17238 19881 20774 23829 25857 28717 31161 37553 39762 47658 51714 57434 62322 71487 75106 86151 93483 112659 135031 142974 172302 186966 225318 258453 270062 337977 373321 405093 488189 516906 675954 746642 810186 976378 1119963 1215279 1464567 2239926 2430558 2929134 3359889 4393701 6346457 6719778 8787402 12692914 19039371 38078742 57118113 114236226