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225253120000 = 21154175979
BaseRepresentation
bin1101000111001000100…
…0011101100000000000
3210112102021111002200011
43101302020131200000
512142304244320000
6251251352034304
722162660633366
oct3216210354000
9715367432604
10225253120000
1187590572007
12377a4992994
131831a11b22c
14ac8bd17636
155cd54952ba
hex347221d800

225253120000 has 120 divisors (see below), whose sum is σ = 562818356100. Its totient is φ = 90100736000.

The previous prime is 225253119991. The next prime is 225253120013. The reversal of 225253120000 is 21352522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1192011 + ... + 1367989.

Almost surely, 2225253120000 is an apocalyptic number.

225253120000 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 225253120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281409178050).

225253120000 is an abundant number, since it is smaller than the sum of its proper divisors (337565236100).

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

225253120000 is an frugal number, since it uses more digits than its factorization.

225253120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176021 (or 175986 counting only the distinct ones).

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

Adding to 225253120000 its reverse (21352522), we get a palindrome (225274472522).

The spelling of 225253120000 in words is "two hundred twenty-five billion, two hundred fifty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 5000 5120 6400 8000 10000 10240 12800 16000 20000 25600 32000 40000 51200 64000 80000 128000 160000 175979 256000 320000 351958 640000 703916 879895 1280000 1407832 1759790 2815664 3519580 4399475 5631328 7039160 8798950 11262656 14078320 17597900 21997375 22525312 28156640 35195800 43994750 45050624 56313280 70391600 87989500 90101248 109986875 112626560 140783200 175979000 180202496 219973750 225253120 281566400 351958000 360404992 439947500 450506240 563132800 703916000 879895000 901012480 1126265600 1407832000 1759790000 1802024960 2252531200 2815664000 3519580000 4505062400 5631328000 7039160000 9010124800 11262656000 14078320000 22525312000 28156640000 45050624000 56313280000 112626560000 225253120000