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226036224 = 293383197
BaseRepresentation
bin11010111100100…
…00101000000000
3120202022211102000
431132100220000
5430331124344
634232424000
75413163511
oct1536205000
9522284360
10226036224
111066563a7
1263848000
1337aa205b
142203ca08
1514c9da69
hexd790a00

226036224 has 160 divisors (see below), whose sum is σ = 680581440. Its totient is φ = 74059776.

The previous prime is 226036201. The next prime is 226036229. The reversal of 226036224 is 422630622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226036229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147294 + ... + 1147490.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2226036224 is an apocalyptic number.

226036224 is a gapful number since it is divisible by the number (24) 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 226036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

226036224 is an abundant number, since it is smaller than the sum of its proper divisors (454545216).

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

226036224 is an equidigital number, since it uses as much as digits as its factorization.

226036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226036224 is about 15034.5011224184. The cubic root of 226036224 is about 609.1524770480.

Adding to 226036224 its reverse (422630622), we get a palindrome (648666846).

The spelling of 226036224 in words is "two hundred twenty-six million, thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 197 216 249 256 288 332 384 394 432 498 512 576 591 664 747 768 788 864 996 1152 1182 1328 1494 1536 1576 1728 1773 1992 2241 2304 2364 2656 2988 3152 3456 3546 3984 4482 4608 4728 5312 5319 5976 6304 6912 7092 7968 8964 9456 10624 10638 11952 12608 13824 14184 15936 16351 17928 18912 21248 21276 23904 25216 28368 31872 32702 35856 37824 42496 42552 47808 49053 50432 56736 63744 65404 71712 75648 85104 95616 98106 100864 113472 127488 130808 143424 147159 151296 170208 191232 196212 226944 261616 286848 294318 302592 340416 382464 392424 441477 453888 523232 573696 588636 680832 784848 882954 907776 1046464 1147392 1177272 1361664 1569696 1765908 2092928 2354544 2723328 3139392 3531816 4185856 4709088 6278784 7063632 8371712 9418176 12557568 14127264 18836352 25115136 28254528 37672704 56509056 75345408 113018112 226036224