35222100 has 72 divisors (see below), whose sum is σ = 102910080. Its totient is φ = 9300480.

The previous prime is 35222093. The next prime is 35222111. The reversal of 35222100 is 122253.

35222100 is nontrivially palindromic in base 11.

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 35222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33381 + ... + 34419.

Almost surely, 2^35222100 is an apocalyptic number.

35222100 is a gapful number since it is divisible by the number (30) 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 35222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51455040).

35222100 is an abundant number, since it is smaller than the sum of its proper divisors (67687980).

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

35222100 is a wasteful number, since it uses less digits than its factorization.

35222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 35222100 is about 5934.8209745535. The cubic root of 35222100 is about 327.7970810128.

Adding to 35222100 its reverse (122253), we get a palindrome (35344353).

The spelling of 35222100 in words is "thirty-five million, two hundred twenty-two thousand, one hundred".