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211012240 = 2454164333
BaseRepresentation
bin11001001001111…
…00101010010000
3112201001112101011
430210330222100
5413004342430
632534420304
75141401015
oct1444745220
9481045334
10211012240
11a912468a
125a801694
133494181a
142004b70c
15137d222a
hexc93ca90

211012240 has 40 divisors (see below), whose sum is σ = 502577208. Its totient is φ = 82344960.

The previous prime is 211012201. The next prime is 211012247. The reversal of 211012240 is 42210112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 184633744 = 5136^2 + 13588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 211012240.

It is not an unprimeable number, because it can be changed into a prime (211012247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28887 + ... + 35446.

Almost surely, 2211012240 is an apocalyptic number.

211012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012240 is an abundant number, since it is smaller than the sum of its proper divisors (291564968).

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

211012240 is a wasteful number, since it uses less digits than its factorization.

211012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64387 (or 64381 counting only the distinct ones).

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

The square root of 211012240 is about 14526.2603583992. The cubic root of 211012240 is about 595.3456927665.

Adding to 211012240 its reverse (42210112), we get a palindrome (253222352).

The spelling of 211012240 in words is "two hundred eleven million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 64333 128666 257332 321665 514664 643330 1029328 1286660 2573320 2637653 5146640 5275306 10550612 13188265 21101224 26376530 42202448 52753060 105506120 211012240