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210125000 = 2356412
BaseRepresentation
bin11001000011001…
…00000011001000
3112122101110022102
430201210003020
5412243000000
632503412532
75131014221
oct1441440310
9478343272
10210125000
11a8679028
125a454148
13346c0a27
141dc9a248
15136a93d5
hexc8640c8

210125000 has 84 divisors (see below), whose sum is σ = 504778695. Its totient is φ = 82000000.

The previous prime is 210124979. The next prime is 210125029. The reversal of 210125000 is 521012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 201469636 + 8655364 = 14194^2 + 2942^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10250.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5124980 + ... + 5125020.

Almost surely, 2210125000 is an apocalyptic number.

210125000 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 210125000

210125000 is an abundant number, since it is smaller than the sum of its proper divisors (294653695).

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

210125000 is an frugal number, since it uses more digits than its factorization.

210125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 210125000 is about 14495.6890143242. The cubic root of 210125000 is about 594.5101068436.

Adding to 210125000 its reverse (521012), we get a palindrome (210646012).

It can be divided in two parts, 2 and 10125000, that multiplied together give a square (20250000 = 45002).

The spelling of 210125000 in words is "two hundred ten million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 1681 2050 2500 3125 3362 4100 5000 5125 6250 6724 8200 8405 10250 12500 13448 15625 16810 20500 25000 25625 31250 33620 41000 42025 51250 62500 67240 84050 102500 125000 128125 168100 205000 210125 256250 336200 420250 512500 640625 840500 1025000 1050625 1281250 1681000 2101250 2562500 4202500 5125000 5253125 8405000 10506250 21012500 26265625 42025000 52531250 105062500 210125000