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20225125200 = 2435272407753
BaseRepresentation
bin10010110101100000…
…101110101101010000
31221012112010210222010
4102311200232231100
5312410113001300
613142530342520
71314124504410
oct226540565520
957175123863
1020225125200
118639612a05
123b0542aa40
131ba421b107
14d9c168640
157d58d9a50
hex4b582eb50

20225125200 has 120 divisors (see below), whose sum is σ = 74043251008. Its totient is φ = 4622883840.

The previous prime is 20225125177. The next prime is 20225125213. The reversal of 20225125200 is 252152202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195477 + ... + 1212276.

Almost surely, 220225125200 is an apocalyptic number.

20225125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20225125200 is an abundant number, since it is smaller than the sum of its proper divisors (53818125808).

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

20225125200 is a wasteful number, since it uses less digits than its factorization.

20225125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407781 (or 2407770 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 20225125200 its reverse (252152202), we get a palindrome (20477277402).

The spelling of 20225125200 in words is "twenty billion, two hundred twenty-five million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 2407753 4815506 7223259 9631012 12038765 14446518 16854271 19262024 24077530 28893036 33708542 36116295 38524048 48155060 50562813 57786072 60193825 67417084 72232590 84271355 96310120 101125626 115572144 120387650 134834168 144465180 168542710 180581475 192620240 202251252 240775300 252814065 269668336 288930360 337085420 361162950 404502504 421356775 481550600 505628130 577860720 674170840 722325900 809005008 842713550 963101200 1011256260 1264070325 1348341680 1444651800 1685427100 2022512520 2528140650 2889303600 3370854200 4045025040 5056281300 6741708400 10112562600 20225125200