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10224326880 = 253257100227
BaseRepresentation
bin10011000010110101…
…01101100011100000
3222101112212121202100
421201122231203200
5131414411430010
64410314450400
7511240226115
oct114132554340
928345777670
1010224326880
114377403129
121b94133a00
13c6c311481
146cdc7890c
153ec9202c0
hex2616ad8e0

10224326880 has 72 divisors (see below), whose sum is σ = 34890520392. Its totient is φ = 2726486784.

The previous prime is 10224326869. The next prime is 10224326887. The reversal of 10224326880 is 8862342201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224326887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3548674 + ... + 3551553.

It is an arithmetic number, because the mean of its divisors is an integer number (484590561).

Almost surely, 210224326880 is an apocalyptic number.

10224326880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224326880 is an abundant number, since it is smaller than the sum of its proper divisors (24666193512).

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

10224326880 is a wasteful number, since it uses less digits than its factorization.

10224326880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100248 (or 7100237 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10224326880 in words is "ten billion, two hundred twenty-four million, three hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7100227 14200454 21300681 28400908 35501135 42601362 56801816 63902043 71002270 85202724 106503405 113603632 127804086 142004540 170405448 213006810 227207264 255608172 284009080 319510215 340810896 426013620 511216344 568018160 639020430 681621792 852027240 1022432688 1136036320 1278040860 1704054480 2044865376 2556081720 3408108960 5112163440 10224326880