212226624 has 63 divisors (see below), whose sum is σ = 609313107. Its totient is φ = 70625664.

The previous prime is 212226617. The next prime is 212226631. The reversal of 212226624 is 426622212.

It is a happy number.

The square root of 212226624 is 14568.

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

212226624 is a `hidden beast` number, since 2 + 12 + 2 + 26 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (212226617) and next prime (212226631).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 349329 + ... + 349935.

Almost surely, 2^212226624 is an apocalyptic number.

212226624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

212226624 is the 14568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212226624

212226624 is an abundant number, since it is smaller than the sum of its proper divisors (397086483).

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

212226624 is an frugal number, since it uses more digits than its factorization.

212226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 612 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The cubic root of 212226624 is about 596.4855883764.

Adding to 212226624 its reverse (426622212), we get a palindrome (638848836).

It can be divided in two parts, 21222 and 6624, that multiplied together give a triangular number (140574528 = T₁₆₇₆₇).

The spelling of 212226624 in words is "two hundred twelve million, two hundred twenty-six thousand, six hundred twenty-four".