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211140250000 = 24569192
BaseRepresentation
bin1100010010100011110…
…0001000100110010000
3202011222201122000120021
43010220330020212100
511424403401000000
6240555124153224
721153152340661
oct3045074104620
9664881560507
10211140250000
11815a9191989
1234b06538814
1316bab310894
14a30d85d368
15575b4b911a
hex3128f08990

211140250000 has 105 divisors (see below), whose sum is σ = 511905771741. Its totient is φ = 84364200000.

The previous prime is 211140249997. The next prime is 211140250031. The reversal of 211140250000 is 52041112.

The square root of 211140250000 is 459500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 184979128464 + 26161121536 = 430092^2 + 161744^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

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, 229749541 + ... + 229750459.

Almost surely, 2211140250000 is an apocalyptic number.

211140250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211140250000 is the 459500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211140250000

211140250000 is an abundant number, since it is smaller than the sum of its proper divisors (300765521741).

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

211140250000 is an frugal number, since it uses more digits than its factorization.

211140250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Multiplying 211140250000 by its sum of digits (16), we get a square (3378244000000 = 18380002).

211140250000 divided by its sum of digits (16) gives a square (13196265625 = 1148752).

Adding to 211140250000 its reverse (52041112), we get a palindrome (211192291112).

The spelling of 211140250000 in words is "two hundred eleven billion, one hundred forty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 919 1000 1250 1838 2000 2500 3125 3676 4595 5000 6250 7352 9190 10000 12500 14704 15625 18380 22975 25000 31250 36760 45950 50000 62500 73520 91900 114875 125000 183800 229750 250000 367600 459500 574375 844561 919000 1148750 1689122 1838000 2297500 2871875 3378244 4222805 4595000 5743750 6756488 8445610 9190000 11487500 13512976 14359375 16891220 21114025 22975000 28718750 33782440 42228050 45950000 57437500 67564880 84456100 105570125 114875000 168912200 211140250 229750000 337824400 422280500 527850625 844561000 1055701250 1689122000 2111402500 2639253125 4222805000 5278506250 8445610000 10557012500 13196265625 21114025000 26392531250 42228050000 52785062500 105570125000 211140250000