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225034051000 = 235311163125507
BaseRepresentation
bin1101000110010100010…
…0110001110110111000
3210111212000021020111111
43101211010301312320
512141332204113000
6251213524410104
722154360605303
oct3214504616670
9714760236444
10225034051000
1187488945250
1237743546934
13182b39184c5
14ac6abadb3a
155cc1120cba
hex3465131db8

225034051000 has 128 divisors (see below), whose sum is σ = 577979400960. Its totient is φ = 81327888000.

The previous prime is 225034050937. The next prime is 225034051001. The reversal of 225034051000 is 150430522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225034051001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730247 + ... + 1855753.

It is an arithmetic number, because the mean of its divisors is an integer number (4515464070).

Almost surely, 2225034051000 is an apocalyptic number.

225034051000 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 225034051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288989700480).

225034051000 is an abundant number, since it is smaller than the sum of its proper divisors (352945349960).

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

225034051000 is a wasteful number, since it uses less digits than its factorization.

225034051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125702 (or 125688 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 225034051000 its reverse (150430522), we get a palindrome (225184481522).

The spelling of 225034051000 in words is "two hundred twenty-five billion, thirty-four million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 163 200 220 250 275 326 440 500 550 652 815 1000 1100 1304 1375 1630 1793 2200 2750 3260 3586 4075 5500 6520 7172 8150 8965 11000 14344 16300 17930 20375 32600 35860 40750 44825 71720 81500 89650 125507 163000 179300 224125 251014 358600 448250 502028 627535 896500 1004056 1255070 1380577 1793000 2510140 2761154 3137675 5020280 5522308 6275350 6902885 11044616 12550700 13805770 15688375 20457641 25101400 27611540 31376750 34514425 40915282 55223080 62753500 69028850 81830564 102288205 125507000 138057700 163661128 172572125 204576410 225034051 276115400 345144250 409152820 450068102 511441025 690288500 818305640 900136204 1022882050 1125170255 1380577000 1800272408 2045764100 2250340510 2557205125 4091528200 4500681020 5114410250 5625851275 9001362040 10228820500 11251702550 20457641000 22503405100 28129256375 45006810200 56258512750 112517025500 225034051000