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22812660080 = 2457192144047
BaseRepresentation
bin10101001111101111…
…011001000101110000
32011212212001012112022
4111033233121011300
5333210020110310
614251402251012
71435214261030
oct251757310560
964785035468
1022812660080
119747174191
124507ab6a68
1321c7318442
141165a838c0
158d7b56a55
hex54fbd9170

22812660080 has 80 divisors (see below), whose sum is σ = 63806868480. Its totient is φ = 7409822976.

The previous prime is 22812660067. The next prime is 22812660083. The reversal of 22812660080 is 8006621822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22812660080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22812660083) 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 15 ways as a sum of consecutive naturals, for example, 1061384 + ... + 1082663.

It is an arithmetic number, because the mean of its divisors is an integer number (797585856).

Almost surely, 222812660080 is an apocalyptic number.

22812660080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22812660080 is an abundant number, since it is smaller than the sum of its proper divisors (40994208400).

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

22812660080 is a wasteful number, since it uses less digits than its factorization.

22812660080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144086 (or 2144080 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 22812660080 in words is "twenty-two billion, eight hundred twelve million, six hundred sixty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 2144047 4288094 8576188 10720235 15008329 17152376 21440470 30016658 34304752 40736893 42880940 60033316 75041645 81473786 85761880 120066632 150083290 162947572 171523760 203684465 240133264 285158251 300166580 325895144 407368930 570316502 600333160 651790288 814737860 1140633004 1200666320 1425791255 1629475720 2281266008 2851582510 3258951440 4562532016 5703165020 11406330040 22812660080