6957228100 has 81 divisors (see below), whose sum is σ = 15969971997. Its totient is φ = 2630417760.

The previous prime is 6957228079. The next prime is 6957228101. The reversal of 6957228100 is 18227596.

The square root of 6957228100 is 83410.

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

It can be written as a sum of positive squares in only one way, i.e., 2504602116 + 4452625984 = 50046^2 + 66728^2 .

It is a super-2 number, since 2×6957228100² = 96806045670859220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6957228101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15847681 + ... + 15848119.

Almost surely, 2^6957228100 is an apocalyptic number.

6957228100 is the 83410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6957228100

6957228100 is an abundant number, since it is smaller than the sum of its proper divisors (9012743897).

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

6957228100 is a wasteful number, since it uses less digits than its factorization.

6957228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The cubic root of 6957228100 is about 1909.0270439090.

The spelling of 6957228100 in words is "six billion, nine hundred fifty-seven million, two hundred twenty-eight thousand, one hundred".