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22033120000 = 2854137707
BaseRepresentation
bin10100100001010001…
…101011101100000000
32002212112012110120111
4110201101223230000
5330110434320000
614042154121104
71410000300313
oct244121535400
962775173514
1022033120000
119387138191
12432aa20194
13210197a118
1410d032297a
1588e4c1cba
hex52146bb00

22033120000 has 90 divisors (see below), whose sum is σ = 54958023428. Its totient is φ = 8813184000.

The previous prime is 22033119971. The next prime is 22033120009. The reversal of 22033120000 is 2133022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22033120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 91147 + ... + 228853.

Almost surely, 222033120000 is an apocalyptic number.

22033120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479011714).

22033120000 is an abundant number, since it is smaller than the sum of its proper divisors (32924903428).

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

22033120000 is an frugal number, since it uses more digits than its factorization.

22033120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137743 (or 137714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22033120000 its reverse (2133022), we get a palindrome (22035253022).

The spelling of 22033120000 in words is "twenty-two billion, thirty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 137707 160000 275414 550828 688535 1101656 1377070 2203312 2754140 3442675 4406624 5508280 6885350 8813248 11016560 13770700 17213375 17626496 22033120 27541400 34426750 35252992 44066240 55082800 68853500 86066875 88132480 110165600 137707000 172133750 176264960 220331200 275414000 344267500 440662400 550828000 688535000 881324800 1101656000 1377070000 2203312000 2754140000 4406624000 5508280000 11016560000 22033120000