212228100 has 360 divisors, whose sum is σ = 831821760. Its totient is φ = 45722880.

The previous prime is 212228087. The next prime is 212228141. The reversal of 212228100 is 1822212.

It is a happy number.

It is a super-2 number, since 2×212228100² = 90081532859220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077202 + ... + 1077398.

It is an arithmetic number, because the mean of its divisors is an integer number (2310616).

Almost surely, 2^212228100 is an apocalyptic number.

212228100 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 212228100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

212228100 is an abundant number, since it is smaller than the sum of its proper divisors (619593660).

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

212228100 is a wasteful number, since it uses less digits than its factorization.

212228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 212228100 is about 14568.0506588905. The cubic root of 212228100 is about 596.4869711917.

The spelling of 212228100 in words is "two hundred twelve million, two hundred twenty-eight thousand, one hundred".