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113224300 = 2252733301
BaseRepresentation
bin1101011111110…
…10101001101100
321220001101112121
412233322221230
5212441134200
615122442324
72543251000
oct657725154
9256041477
10113224300
1158a04102
1231b033a4
131a5c3b37
1411074700
159e17e1a
hex6bfaa6c

113224300 has 72 divisors (see below), whose sum is σ = 286613600. Its totient is φ = 38808000.

The previous prime is 113224291. The next prime is 113224303. The reversal of 113224300 is 3422311.

It is a happy number.

It is a super-2 number, since 2×1132243002 = 25639484220980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113224303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32650 + ... + 35950.

Almost surely, 2113224300 is an apocalyptic number.

113224300 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 113224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143306800).

113224300 is an abundant number, since it is smaller than the sum of its proper divisors (173389300).

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

113224300 is a wasteful number, since it uses less digits than its factorization.

113224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 113224300 is about 10640.6907670508. The cubic root of 113224300 is about 483.7784827445.

Adding to 113224300 its reverse (3422311), we get a palindrome (116646611).

The spelling of 113224300 in words is "one hundred thirteen million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3301 3430 4900 6602 6860 8575 13204 16505 17150 23107 33010 34300 46214 66020 82525 92428 115535 161749 165050 231070 323498 330100 462140 577675 646996 808745 1132243 1155350 1617490 2264486 2310700 3234980 4043725 4528972 5661215 8087450 11322430 16174900 22644860 28306075 56612150 113224300