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225064417620 = 22357276552523
BaseRepresentation
bin1101000110011011100…
…0100111100101010100
3210111221010102000200010
43101212320213211110
512141412442330440
6251220531320220
722155206661600
oct3214670474524
9714833360603
10225064417620
11874a3aa6129
1237751750070
13182b9cbb313
14ac70c36500
155cc3b1d580
hex3466e27954

225064417620 has 72 divisors (see below), whose sum is σ = 733066969824. Its totient is φ = 51443294784.

The previous prime is 225064417619. The next prime is 225064417661. The reversal of 225064417620 is 26714460522.

225064417620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38273322 + ... + 38279201.

It is an arithmetic number, because the mean of its divisors is an integer number (10181485692).

Almost surely, 2225064417620 is an apocalyptic number.

225064417620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225064417620 is an abundant number, since it is smaller than the sum of its proper divisors (508002552204).

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

225064417620 is a wasteful number, since it uses less digits than its factorization.

225064417620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76552549 (or 76552540 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 225064417620 in words is "two hundred twenty-five billion, sixty-four million, four hundred seventeen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 76552523 153105046 229657569 306210092 382762615 459315138 535867661 765525230 918630276 1071735322 1148287845 1531050460 1607602983 2143470644 2296575690 2679338305 3215205966 3751073627 4593151380 5358676610 6430411932 7502147254 8038014915 10717353220 11253220881 15004294508 16076029830 18755368135 22506441762 32152059660 37510736270 45012883524 56266104405 75021472540 112532208810 225064417620