23227676640100 has 81 divisors (see below), whose sum is σ = 52205204063467. Its totient is φ = 8970149124160.

The previous prime is 23227676640083. The next prime is 23227676640109. The reversal of 23227676640100 is 104667672232.

The square root of 23227676640100 is 4819510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 319276982116 + 22908399657984 = 565046^2 + 4786272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23227676640109) 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, 1397649591 + ... + 1397666209.

Almost surely, 2^{23227676640100} is an apocalyptic number.

23227676640100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23227676640100 is the 4819510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23227676640100

23227676640100 is an abundant number, since it is smaller than the sum of its proper divisors (28977527423367).

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

23227676640100 is an frugal number, since it uses more digits than its factorization.

23227676640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33310 (or 16655 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 23227676640100 in words is "twenty-three trillion, two hundred twenty-seven billion, six hundred seventy-six million, six hundred forty thousand, one hundred".