Search a number
-
+
112132422 = 232371011667
BaseRepresentation
bin1101010111100…
…00000101000110
321210222220202200
412223300011012
5212201214142
615043215330
72531052453
oct653600506
9253886680
10112132422
1158328826
1231677546
131a300b5c
1410c6c82a
159c9e64c
hex6af0146

112132422 has 48 divisors (see below), whose sum is σ = 252141552. Its totient is φ = 35985600.

The previous prime is 112132411. The next prime is 112132481. The reversal of 112132422 is 224231211.

It is a happy number.

112132422 is a `hidden beast` number, since 112 + 132 + 422 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112132395 and 112132404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66433 + ... + 68099.

It is an arithmetic number, because the mean of its divisors is an integer number (5252949).

Almost surely, 2112132422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126070776).

112132422 is an abundant number, since it is smaller than the sum of its proper divisors (140009130).

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

112132422 is a wasteful number, since it uses less digits than its factorization.

112132422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1810 counting only the distinct ones).

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

The square root of 112132422 is about 10589.2597474989. The cubic root of 112132422 is about 482.2183517386.

Adding to 112132422 its reverse (224231211), we get a palindrome (336363633).

The spelling of 112132422 in words is "one hundred twelve million, one hundred thirty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1667 1818 3334 3737 5001 7474 10002 11211 15003 22422 30006 33633 61679 67266 123358 168367 185037 336734 370074 505101 555111 1010202 1110222 1515303 3030606 6229579 12459158 18688737 37377474 56066211 112132422