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225227400 = 233523112109
BaseRepresentation
bin11010110110010…
…11001010001000
3120200210201220120
431123023022020
5430124234100
634203223240
75403254436
oct1533131210
9520721816
10225227400
11106153752
1263517b20
133787ab68
1421cabd56
1514b8e0a0
hexd6cb288

225227400 has 96 divisors (see below), whose sum is σ = 720787200. Its totient is φ = 58118400.

The previous prime is 225227371. The next prime is 225227413. The reversal of 225227400 is 4722522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12546 + ... + 24654.

It is an arithmetic number, because the mean of its divisors is an integer number (7508200).

Almost surely, 2225227400 is an apocalyptic number.

225227400 is a gapful number since it is divisible by the number (20) 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 225227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360393600).

225227400 is an abundant number, since it is smaller than the sum of its proper divisors (495559800).

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

225227400 is a wasteful number, since it uses less digits than its factorization.

225227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12159 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 225227400 is about 15007.5780857539. The cubic root of 225227400 is about 608.4250331939.

Adding to 225227400 its reverse (4722522), we get a palindrome (229949922).

The spelling of 225227400 in words is "two hundred twenty-five million, two hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 12109 18600 24218 36327 48436 60545 72654 96872 121090 145308 181635 242180 290616 302725 363270 375379 484360 605450 726540 750758 908175 1126137 1210900 1453080 1501516 1816350 1876895 2252274 2421800 3003032 3632700 3753790 4504548 5630685 7265400 7507580 9009096 9384475 11261370 15015160 18768950 22522740 28153425 37537900 45045480 56306850 75075800 112613700 225227400