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227104900 = 22521121372
BaseRepresentation
bin11011000100101…
…01100010000100
3120211100010100121
431202111202010
5431114324100
634311351324
75425234261
oct1542254204
9524303317
10227104900
11107216300
1264082544
13380875c9
142223a268
1514e1051a
hexd895884

227104900 has 81 divisors (see below), whose sum is σ = 545674927. Its totient is φ = 81980800.

The previous prime is 227104897. The next prime is 227104901. The reversal of 227104900 is 9401722.

The square root of 227104900 is 15070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 662596 + 226442304 = 814^2 + 15048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227104901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1657632 + ... + 1657768.

Almost surely, 2227104900 is an apocalyptic number.

227104900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227104900 is the 15070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227104900

227104900 is an abundant number, since it is smaller than the sum of its proper divisors (318570027).

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

227104900 is a wasteful number, since it uses less digits than its factorization.

227104900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 227104900 is about 610.1109714797.

Multiplying 227104900 by its sum of digits (25), we get a square (5677622500 = 753502).

227104900 divided by its sum of digits (25) gives a square (9084196 = 30142).

The spelling of 227104900 in words is "two hundred twenty-seven million, one hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 137 220 242 274 275 484 548 550 605 685 1100 1210 1370 1507 2420 2740 3014 3025 3425 6028 6050 6850 7535 12100 13700 15070 16577 18769 30140 33154 37538 37675 66308 75076 75350 82885 93845 150700 165770 187690 206459 331540 375380 412918 414425 469225 825836 828850 938450 1032295 1657700 1876900 2064590 2271049 4129180 4542098 5161475 9084196 10322950 11355245 20645900 22710490 45420980 56776225 113552450 227104900