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211010002240 = 265659406257
BaseRepresentation
bin1100010010000100101…
…1010001110101000000
3202011122122112202020011
43010201023101311000
511424122030032430
6240534152354304
721150011265622
oct3044113216500
9664578482204
10211010002240
1181541710904
1234a8a9a5994
1316b8a3393bb
14a2da436c12
15574ed3c22a
hex31212d1d40

211010002240 has 28 divisors (see below), whose sum is σ = 502467568596. Its totient is φ = 84404000768.

The previous prime is 211010002213. The next prime is 211010002249. The reversal of 211010002240 is 42200010112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114308905216 + 96701097024 = 338096^2 + 310968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211010002240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010002249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329702809 + ... + 329703448.

It is an arithmetic number, because the mean of its divisors is an integer number (17945270307).

Almost surely, 2211010002240 is an apocalyptic number.

211010002240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010002240 is an abundant number, since it is smaller than the sum of its proper divisors (291457566356).

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

211010002240 is an equidigital number, since it uses as much as digits as its factorization.

211010002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659406274 (or 659406264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211010002240 its reverse (42200010112), we get a palindrome (253210012352).

The spelling of 211010002240 in words is "two hundred eleven billion, ten million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 659406257 1318812514 2637625028 3297031285 5275250056 6594062570 10550500112 13188125140 21101000224 26376250280 42202000448 52752500560 105505001120 211010002240