146222208 has 144 divisors (see below), whose sum is σ = 462939750. Its totient is φ = 44267520.

The previous prime is 146222203. The next prime is 146222221. The reversal of 146222208 is 802222641.

It is a happy number.

146222208 is a `hidden beast` number, since 14 + 622 + 2 + 20 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95413824 + 50808384 = 9768^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146222208² = 42761868224790528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146222203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 138868 + ... + 139916.

Almost surely, 2^146222208 is an apocalyptic number.

146222208 is a gapful number since it is divisible by the number (18) 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 146222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231469875).

146222208 is an abundant number, since it is smaller than the sum of its proper divisors (316717542).

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

146222208 is a wasteful number, since it uses less digits than its factorization.

146222208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146222208 is about 12092.2375100723. The cubic root of 146222208 is about 526.8307459358.

Adding to 146222208 its reverse (802222641), we get a palindrome (948444849).

The spelling of 146222208 in words is "one hundred forty-six million, two hundred twenty-two thousand, two hundred eight".