2232122100 has 288 divisors, whose sum is σ = 7449273216. Its totient is φ = 511180800.

The previous prime is 2232122077. The next prime is 2232122107. The reversal of 2232122100 is 12212322.

It is a happy number.

2232122100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232122100³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2232122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232122107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8685172 + ... + 8685428.

It is an arithmetic number, because the mean of its divisors is an integer number (25865532).

Almost surely, 2^2232122100 is an apocalyptic number.

2232122100 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 2232122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724636608).

2232122100 is an abundant number, since it is smaller than the sum of its proper divisors (5217151116).

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

2232122100 is a wasteful number, since it uses less digits than its factorization.

2232122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2232122100 is about 47245.3394526910. The cubic root of 2232122100 is about 1306.8908453985.

Adding to 2232122100 its reverse (12212322), we get a palindrome (2244334422).

The spelling of 2232122100 in words is "two billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred".