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211412264 = 23723791423
BaseRepresentation
bin11001001100111…
…10010100101000
3112201210212002212
430212132110220
5413110143024
632551144252
75144655200
oct1446362450
9481725085
10211412264
11a9378188
125a975088
1334a5191b
1420113400
1513860a0e
hexc99e528

211412264 has 48 divisors (see below), whose sum is σ = 462657600. Its totient is φ = 90302688.

The previous prime is 211412263. The next prime is 211412273. The reversal of 211412264 is 462214112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211412261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147857 + ... + 149279.

It is an arithmetic number, because the mean of its divisors is an integer number (9638700).

Almost surely, 2211412264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211412264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231328800).

211412264 is an abundant number, since it is smaller than the sum of its proper divisors (251245336).

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

211412264 is a wasteful number, since it uses less digits than its factorization.

211412264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 211412264 is about 14540.0228335447. The cubic root of 211412264 is about 595.7216618446.

Adding to 211412264 its reverse (462214112), we get a palindrome (673626376).

The spelling of 211412264 in words is "two hundred eleven million, four hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 379 392 758 1423 1516 2653 2846 3032 5306 5692 9961 10612 11384 18571 19922 21224 37142 39844 69727 74284 79688 139454 148568 278908 539317 557816 1078634 2157268 3775219 4314536 7550438 15100876 26426533 30201752 52853066 105706132 211412264