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225104050020 = 223519359550027
BaseRepresentation
bin1101000110100100111…
…1110011011101100100
3210112000212222120002210
43101221033303131210
512142003114100040
6251224505003420
722156200566133
oct3215117633544
9715025876083
10225104050020
1187514405583
1237762a83570
13182c5286745
14ac761d191a
155cc734b480
hex34693f3764

225104050020 has 96 divisors (see below), whose sum is σ = 665313868800. Its totient is φ = 56709880704.

The previous prime is 225104050013. The next prime is 225104050033. The reversal of 225104050020 is 20050401522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134247 + ... + 684273.

It is an arithmetic number, because the mean of its divisors is an integer number (6930352800).

Almost surely, 2225104050020 is an apocalyptic number.

225104050020 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 225104050020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332656934400).

225104050020 is an abundant number, since it is smaller than the sum of its proper divisors (440209818780).

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

225104050020 is a wasteful number, since it uses less digits than its factorization.

225104050020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550417 (or 550415 counting only the distinct ones).

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

Adding to 225104050020 its reverse (20050401522), we get a palindrome (245154451542).

The spelling of 225104050020 in words is "two hundred twenty-five billion, one hundred four million, fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 359 380 570 718 1077 1140 1436 1795 2154 3590 4308 5385 6821 7180 10770 13642 20463 21540 27284 34105 40926 68210 81852 102315 136420 204630 409260 550027 1100054 1650081 2200108 2750135 3300162 5500270 6600324 8250405 10450513 11000540 16500810 20901026 31351539 33001620 41802052 52252565 62703078 104505130 125406156 156757695 197459693 209010260 313515390 394919386 592379079 627030780 789838772 987298465 1184758158 1974596930 2369516316 2961895395 3751734167 3949193860 5923790790 7503468334 11255202501 11847581580 15006936668 18758670835 22510405002 37517341670 45020810004 56276012505 75034683340 112552025010 225104050020