Search a number
-
+
112231000 = 2353716033
BaseRepresentation
bin1101011000010…
…00001001011000
321211011220222201
412230020021120
5212212343000
615045255544
72531643040
oct654101130
9254156881
10112231000
11583958a2
12317045b4
131a33699b
1410c96720
159cbd96a
hex6b08258

112231000 has 64 divisors (see below), whose sum is σ = 300156480. Its totient is φ = 38476800.

The previous prime is 112230973. The next prime is 112231001. The reversal of 112231000 is 132211.

It is a super-2 number, since 2×1122310002 = 25191594722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112231001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 15016.

It is an arithmetic number, because the mean of its divisors is an integer number (4689945).

Almost surely, 2112231000 is an apocalyptic number.

112231000 is a gapful number since it is divisible by the number (10) 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 112231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150078240).

112231000 is an abundant number, since it is smaller than the sum of its proper divisors (187925480).

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

112231000 is a wasteful number, since it uses less digits than its factorization.

112231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16061 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112231000 is about 10593.9133468233. The cubic root of 112231000 is about 482.3596198233.

Adding to 112231000 its reverse (132211), we get a palindrome (112363211).

The spelling of 112231000 in words is "one hundred twelve million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 16033 32066 64132 80165 112231 128264 160330 224462 320660 400825 448924 561155 641320 801650 897848 1122310 1603300 2004125 2244620 2805775 3206600 4008250 4489240 5611550 8016500 11223100 14028875 16033000 22446200 28057750 56115500 112231000