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4224270405225 = 35213171571623299
BaseRepresentation
bin111101011110001010001…
…000110000111001101001
3112221211120200000201100210
4331132022020300321221
51023202301210431400
612552334131051333
7614123234000043
oct75361210607151
915854520021323
104224270405225
111389559576502
12582837740b49
1324846844c320
14108654928a93
1574d3a035950
hex3d78a230e69

4224270405225 has 96 divisors (see below), whose sum is σ = 8014530787200. Its totient is φ = 1944840867840.

The previous prime is 4224270405221. The next prime is 4224270405269. The reversal of 4224270405225 is 5225040724224.

It is a happy number.

4224270405225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4224270405225 - 22 = 4224270405221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4224270405221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790626 + ... + 3413924.

It is an arithmetic number, because the mean of its divisors is an integer number (83484695700).

Almost surely, 24224270405225 is an apocalyptic number.

It is an amenable number.

4224270405225 is a deficient number, since it is larger than the sum of its proper divisors (3790260381975).

4224270405225 is a wasteful number, since it uses less digits than its factorization.

4224270405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623499 (or 1623494 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 39.

The spelling of 4224270405225 in words is "four trillion, two hundred twenty-four billion, two hundred seventy million, four hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 51 65 75 85 157 195 221 255 325 425 471 663 785 975 1105 1275 2041 2355 2669 3315 3925 5525 6123 8007 10205 11775 13345 16575 30615 34697 40035 51025 66725 104091 153075 173485 200175 520455 867425 1623299 2602275 4869897 8116495 21102887 24349485 27596083 40582475 63308661 82788249 105514435 121747425 137980415 254857943 316543305 358749079 413941245 527572175 689902075 764573829 1076247237 1274289715 1582716525 1793745395 2069706225 3313153259 3822869145 4332585031 5381236185 6371448575 8968726975 9939459777 12997755093 16565766295 19114345725 21662925155 26906180925 49697298885 56323605403 64988775465 82828831475 108314625775 168970816209 248486494425 281618027015 324943877325 844854081045 1408090135075 4224270405225