212226560 has 160 divisors (see below), whose sum is σ = 626959872. Its totient is φ = 67092480.

The previous prime is 212226559. The next prime is 212226569. The reversal of 212226560 is 65622212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×212226560² = 90080225538867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (212226569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232505 + ... + 233415.

Almost surely, 2^212226560 is an apocalyptic number.

212226560 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 212226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

212226560 is an abundant number, since it is smaller than the sum of its proper divisors (414733312).

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

212226560 is an equidigital number, since it uses as much as digits as its factorization.

212226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 212226560 is about 14567.9978034046. The cubic root of 212226560 is about 596.4855284168.

Adding to 212226560 its reverse (65622212), we get a palindrome (277848772).

It can be divided in two parts, 2122 and 26560, that added together give a palindrome (28682).

The spelling of 212226560 in words is "two hundred twelve million, two hundred twenty-six thousand, five hundred sixty".