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224145502035 = 357131371198607
BaseRepresentation
bin1101000011000000011…
…1001110111101010011
3210102120002022021110120
43100300013032331103
512133022222031120
6250545424001323
722123351221450
oct3206007167523
9712502267416
10224145502035
1187072324264
1237535a60243
13181a1800ca0
14abc4b94827
155c6d107140
hex34301cef53

224145502035 has 64 divisors (see below), whose sum is σ = 444616445952. Its totient is φ = 93893999616.

The previous prime is 224145502003. The next prime is 224145502039. The reversal of 224145502035 is 530205541422.

It is a happy number.

224145502035 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 224145502035 - 25 = 224145502003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224145501987 and 224145502005.

It is not an unprimeable number, because it can be changed into a prime (224145502039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412299 + ... + 786308.

It is an arithmetic number, because the mean of its divisors is an integer number (6947131968).

Almost surely, 2224145502035 is an apocalyptic number.

224145502035 is a deficient number, since it is larger than the sum of its proper divisors (220470943917).

224145502035 is a wasteful number, since it uses less digits than its factorization.

224145502035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198772.

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 224145502035 in words is "two hundred twenty-four billion, one hundred forty-five million, five hundred two thousand, thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 137 195 273 411 455 685 959 1365 1781 2055 2877 4795 5343 8905 12467 14385 26715 37401 62335 187005 1198607 3595821 5993035 8390249 15581891 17979105 25170747 41951245 46745673 77909455 109073237 125853735 164209159 233728365 327219711 492627477 545366185 821045795 1149464113 1636098555 2134719067 2463137385 3448392339 5747320565 6404157201 10673595335 14943033469 17241961695 32020786005 44829100407 74715167345 224145502035