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22021530000400 = 2452721123547449
BaseRepresentation
bin1010000000111010010010…
…11110010001110000010000
32212222020102021210200212001
411000131021132101300100
510341300043140003100
6114500315021443344
74432001020351300
oct500351136216020
985866367720761
1022021530000400
117020307648887
122577b05a10554
13c398101ba1c8
14561bc22a5600
15282c6d0a2d6a
hex140749791c10

22021530000400 has 90 divisors (see below), whose sum is σ = 61544558668650. Its totient is φ = 7550238850560.

The previous prime is 22021530000367. The next prime is 22021530000401. The reversal of 22021530000400 is 400003512022.

It can be written as a sum of positive squares in 3 ways, for example, as 2081625670656 + 19939904329744 = 1442784^2 + 4465412^2 .

It is not an unprimeable number, because it can be changed into a prime (22021530000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 561754125 + ... + 561793324.

Almost surely, 222021530000400 is an apocalyptic number.

22021530000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021530000400 is an abundant number, since it is smaller than the sum of its proper divisors (39523028668250).

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

22021530000400 is a wasteful number, since it uses less digits than its factorization.

22021530000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123547481 (or 1123547463 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 22021530000400 its reverse (400003512022), we get a palindrome (22421533512422).

The spelling of 22021530000400 in words is "twenty-two trillion, twenty-one billion, five hundred thirty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 1123547449 2247094898 4494189796 5617737245 7864832143 8988379592 11235474490 15729664286 17976759184 22470948980 28088686225 31459328572 39324160715 44941897960 55053825001 56177372450 62918657144 78648321430 89883795920 110107650002 112354744900 125837314288 157296642860 196620803575 220215300004 224709489800 275269125005 314593285720 393241607150 440430600008 449418979600 550538250010 629186571440 786483214300 880861200016 1101076500020 1376345625025 1572966428600 2202153000040 2752691250050 3145932857200 4404306000080 5505382500100 11010765000200 22021530000400