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22054012000 = 255343128221
BaseRepresentation
bin10100100010100001…
…011000010001100000
32002220222111220000021
4110202201120101200
5330131311341000
614044222003224
71410343003036
oct244241302140
962828456007
1022054012000
119397a076a9
124335a16514
1321060b3557
1410d3000556
1589124c11a
hex522858460

22054012000 has 96 divisors (see below), whose sum is σ = 55447295904. Its totient is φ = 8616384000.

The previous prime is 22054011989. The next prime is 22054012003. The reversal of 22054012000 is 21045022.

It is a super-2 number, since 2×220540120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22054012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107890 + ... + 236110.

It is an arithmetic number, because the mean of its divisors is an integer number (577575999).

Almost surely, 222054012000 is an apocalyptic number.

22054012000 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 22054012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27723647952).

22054012000 is an abundant number, since it is smaller than the sum of its proper divisors (33393283904).

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

22054012000 is a wasteful number, since it uses less digits than its factorization.

22054012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128289 (or 128271 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 22054012000 its reverse (21045022), we get a palindrome (22075057022).

The spelling of 22054012000 in words is "twenty-two billion, fifty-four million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 128221 172000 256442 512884 641105 1025768 1282210 2051536 2564420 3205525 4103072 5128840 5513503 6411050 10257680 11027006 12822100 16027625 20515360 22054012 25644200 27567515 32055250 44108024 51288400 55135030 64110500 88216048 102576800 110270060 128221000 137837575 176432096 220540120 256442000 275675150 441080240 512884000 551350300 689187875 882160480 1102700600 1378375750 2205401200 2756751500 4410802400 5513503000 11027006000 22054012000