23782266225 has 135 divisors (see below), whose sum is σ = 46362746353. Its totient is φ = 12050976960.

The previous prime is 23782266223. The next prime is 23782266241. The reversal of 23782266225 is 52266228732.

It is a happy number.

The square root of 23782266225 is 154215.

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 7097894001 + 16684372224 = 84249^2 + 129168^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 23782266225 - 2¹ = 23782266223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (967680) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (23782266223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 159612451 + ... + 159612599.

Almost surely, 2^23782266225 is an apocalyptic number.

23782266225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23782266225 is the 154215-th square number.

23782266225 is the 77108-th centered octagonal number.

It is an amenable number.

23782266225 is a deficient number, since it is larger than the sum of its proper divisors (22580480128).

23782266225 is an equidigital number, since it uses as much as digits as its factorization.

23782266225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 180 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 23782266225 in words is "twenty-three billion, seven hundred eighty-two million, two hundred sixty-six thousand, two hundred twenty-five".