Search a number
-
+
11221434 = 2327293783
BaseRepresentation
bin101010110011…
…100110111010
3210010002220200
4222303212322
510333041214
61040303030
7164244360
oct52634672
923102820
1011221434
116374914
123911a76
13242b803
1416c1630
15eb9d09
hexab39ba

11221434 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2975616.

The previous prime is 11221423. The next prime is 11221439. The reversal of 11221434 is 43412211.

11221434 is a `hidden beast` number, since 11 + 221 + 434 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11221439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135157 + ... + 135239.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 211221434 is an apocalyptic number.

11221434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11221434 is an abundant number, since it is smaller than the sum of its proper divisors (18655686).

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

11221434 is a wasteful number, since it uses less digits than its factorization.

11221434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11221434 is about 3349.8408917440. The cubic root of 11221434 is about 223.8804235298.

Adding to 11221434 its reverse (43412211), we get a palindrome (54633645).

It can be divided in two parts, 1122 and 1434, that added together give a triangular number (2556 = T71).

The spelling of 11221434 in words is "eleven million, two hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 37 42 58 63 74 83 87 111 126 166 174 203 222 249 259 261 333 406 498 518 522 581 609 666 747 777 1073 1162 1218 1494 1554 1743 1827 2146 2331 2407 3071 3219 3486 3654 4662 4814 5229 6142 6438 7221 7511 9213 9657 10458 14442 15022 16849 18426 19314 21497 21663 22533 27639 33698 42994 43326 45066 50547 55278 64491 67599 89059 101094 128982 135198 151641 178118 193473 267177 303282 386946 534354 623413 801531 1246826 1603062 1870239 3740478 5610717 11221434