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210245525000 = 235572171629
BaseRepresentation
bin1100001111001110011…
…1000001111000001000
3202002200101001021121022
43003303213001320020
511421040323300000
6240330243132012
721122036322200
oct3036347017010
9662611037538
10210245525000
118118a132835
12348b6974008
1316a97b431c4
14a266ab7400
155707b80585
hex30f39c1e08

210245525000 has 144 divisors (see below), whose sum is σ = 573180696900. Its totient is φ = 72083760000.

The previous prime is 210245524897. The next prime is 210245525023. The reversal of 210245525000 is 525542012.

It can be written as a sum of positive squares in 6 ways, for example, as 12204504676 + 198041020324 = 110474^2 + 445018^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1139186 + ... + 1310814.

Almost surely, 2210245525000 is an apocalyptic number.

210245525000 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 210245525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286590348450).

210245525000 is an abundant number, since it is smaller than the sum of its proper divisors (362935171900).

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

210245525000 is an equidigital number, since it uses as much as digits as its factorization.

210245525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171674 (or 171643 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 210245525000 in words is "two hundred ten billion, two hundred forty-five million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 625 700 875 980 1000 1225 1250 1400 1750 1960 2450 2500 3125 3500 4375 4900 5000 6125 6250 7000 8750 9800 12250 12500 17500 21875 24500 25000 30625 35000 43750 49000 61250 87500 122500 153125 171629 175000 245000 306250 343258 612500 686516 858145 1201403 1225000 1373032 1716290 2402806 3432580 4290725 4805612 6007015 6865160 8409821 8581450 9611224 12014030 16819642 17162900 21453625 24028060 30035075 33639284 34325800 42049105 42907250 48056120 60070150 67278568 84098210 85814500 107268125 120140300 150175375 168196420 171629000 210245525 214536250 240280600 300350750 336392840 420491050 429072500 536340625 600701500 750876875 840982100 858145000 1051227625 1072681250 1201403000 1501753750 1681964200 2102455250 2145362500 3003507500 3754384375 4204910500 4290725000 5256138125 6007015000 7508768750 8409821000 10512276250 15017537500 21024552500 26280690625 30035075000 42049105000 52561381250 105122762500 210245525000