Search a number
-
+
1214411112 = 2332313491559
BaseRepresentation
bin100100001100010…
…0111000101101000
310010122010110212100
41020120213011220
54441342123422
6320301013400
742044216115
oct11030470550
93118113770
101214411112
1157355a052
1229a854260
1316479ba75
14b740190c
15719357ac
hex48627168

1214411112 has 96 divisors (see below), whose sum is σ = 3407040000. Its totient is φ = 390372480.

The previous prime is 1214411111. The next prime is 1214411153. The reversal of 1214411112 is 2111144121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1214411111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778189 + ... + 779747.

It is an arithmetic number, because the mean of its divisors is an integer number (35490000).

Almost surely, 21214411112 is an apocalyptic number.

1214411112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703520000).

1214411112 is an abundant number, since it is smaller than the sum of its proper divisors (2192628888).

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

1214411112 is a wasteful number, since it uses less digits than its factorization.

1214411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1944 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1214411112 is about 34848.4018571871. The cubic root of 1214411112 is about 1066.8955674555.

Adding to 1214411112 its reverse (2111144121), we get a palindrome (3325555233).

The spelling of 1214411112 in words is "one billion, two hundred fourteen million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 349 372 558 698 744 1047 1116 1396 1559 2094 2232 2792 3118 3141 4188 4677 6236 6282 8376 9354 10819 12472 12564 14031 18708 21638 25128 28062 32457 37416 43276 48329 56124 64914 86552 96658 97371 112248 129828 144987 193316 194742 259656 289974 386632 389484 434961 544091 579948 778968 869922 1088182 1159896 1632273 1739844 2176364 3264546 3479688 4352728 4896819 6529092 9793638 13058184 16866821 19587276 33733642 39174552 50600463 67467284 101200926 134934568 151801389 202401852 303602778 404803704 607205556 1214411112