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2221120080 = 243253084889
BaseRepresentation
bin1000010001100011…
…1001101001010000
312201210102120221200
42010120321221100
514022101320310
61004222151200
7106020131514
oct20430715120
95653376850
102221120080
11a3a845433
1251ba22500
1329521784a
14170db8144
15ceede9c0
hex84639a50

2221120080 has 60 divisors (see below), whose sum is σ = 7459264020. Its totient is φ = 592298496.

The previous prime is 2221120079. The next prime is 2221120087. The reversal of 2221120080 is 800211222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 1961781264 = 16104^2 + 44292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221120087) 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, 1541725 + ... + 1543164.

It is an arithmetic number, because the mean of its divisors is an integer number (124321067).

Almost surely, 22221120080 is an apocalyptic number.

2221120080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221120080 is an abundant number, since it is smaller than the sum of its proper divisors (5238143940).

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

2221120080 is a wasteful number, since it uses less digits than its factorization.

2221120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084908 (or 3084899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2221120080 is about 47128.7606457034. The cubic root of 2221120080 is about 1304.7401076678.

The spelling of 2221120080 in words is "two billion, two hundred twenty-one million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3084889 6169778 9254667 12339556 15424445 18509334 24679112 27764001 30848890 37018668 46273335 49358224 55528002 61697780 74037336 92546670 111056004 123395560 138820005 148074672 185093340 222112008 246791120 277640010 370186680 444224016 555280020 740373360 1110560040 2221120080