Search a number
-
+
112213500 = 22353710687
BaseRepresentation
bin1101011000000…
…11110111111100
321211011000222120
412230003313330
5212211313000
615045042540
72531541030
oct654036774
9254130876
10112213500
1158383733
12316b6450
131a32ba29
1410c901c0
159cb86a0
hex6b03dfc

112213500 has 96 divisors (see below), whose sum is σ = 373481472. Its totient is φ = 25646400.

The previous prime is 112213477. The next prime is 112213523. The reversal of 112213500 is 5312211.

112213500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112213477) and next prime (112213523).

It is a Harshad number since it is a multiple of its sum of digits (15).

112213500 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 112213500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5157 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (3890432).

Almost surely, 2112213500 is an apocalyptic number.

112213500 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 112213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186740736).

112213500 is an abundant number, since it is smaller than the sum of its proper divisors (261267972).

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

112213500 is a wasteful number, since it uses less digits than its factorization.

112213500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10716 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112213500 is about 10593.0873686570. The cubic root of 112213500 is about 482.3345473326.

Adding to 112213500 its reverse (5312211), we get a palindrome (117525711).

The spelling of 112213500 in words is "one hundred twelve million, two hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 10687 21374 32061 42748 53435 64122 74809 106870 128244 149618 160305 213740 224427 267175 299236 320610 374045 448854 534350 641220 748090 801525 897708 1068700 1122135 1335875 1496180 1603050 1870225 2244270 2671750 3206100 3740450 4007625 4488540 5343500 5610675 7480900 8015250 9351125 11221350 16030500 18702250 22442700 28053375 37404500 56106750 112213500