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113422200 = 23352238219
BaseRepresentation
bin1101100001010…
…10111101111000
321220102110000020
412300222331320
5213014002300
615131010440
72545033653
oct660527570
9256373006
10113422200
1159029861
1231b99a20
131a662c38
14110c689a
159e568a0
hex6c2af78

113422200 has 96 divisors (see below), whose sum is σ = 366940800. Its totient is φ = 28927360.

The previous prime is 113422187. The next prime is 113422207. The reversal of 113422200 is 2224311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113422200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113422207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9691 + ... + 17909.

It is an arithmetic number, because the mean of its divisors is an integer number (3822300).

Almost surely, 2113422200 is an apocalyptic number.

113422200 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 113422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183470400).

113422200 is an abundant number, since it is smaller than the sum of its proper divisors (253518600).

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

113422200 is a wasteful number, since it uses less digits than its factorization.

113422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 113422200 is about 10649.9859154836. The cubic root of 113422200 is about 484.0601773866.

Adding to 113422200 its reverse (2224311), we get a palindrome (115646511).

The spelling of 113422200 in words is "one hundred thirteen million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 8219 13800 16438 24657 32876 41095 49314 65752 82190 98628 123285 164380 189037 197256 205475 246570 328760 378074 410950 493140 567111 616425 756148 821900 945185 986280 1134222 1232850 1512296 1643800 1890370 2268444 2465700 2835555 3780740 4536888 4725925 4931400 5671110 7561480 9451850 11342220 14177775 18903700 22684440 28355550 37807400 56711100 113422200