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220374025 = 5229692
BaseRepresentation
bin11010010001010…
…10010000001001
3120100200011022221
431020222100021
5422403432100
633511214041
75314101604
oct1510522011
9510604287
10220374025
111034392a3
1261977321
133686ba41
14213a733b
151453101a
hexd22a409

220374025 has 9 divisors (see below), whose sum is σ = 273355861. Its totient is φ = 176239840.

The previous prime is 220374019. The next prime is 220374041. The reversal of 220374025 is 520473022.

The square root of 220374025 is 14845.

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 124255609 + 96118416 = 11147^2 + 9804^2 .

It is not a de Polignac number, because 220374025 - 213 = 220365833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72741 + ... + 75709.

Almost surely, 2220374025 is an apocalyptic number.

220374025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220374025 is the 14845-th square number.

220374025 is the 7423-rd centered octagonal number.

It is an amenable number.

220374025 is a deficient number, since it is larger than the sum of its proper divisors (52981836).

220374025 is an frugal number, since it uses more digits than its factorization.

220374025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The cubic root of 220374025 is about 604.0229887965.

Multiplying 220374025 by its sum of digits (25), we get a square (5509350625 = 742252).

220374025 divided by its sum of digits (25) gives a square (8814961 = 29692).

It can be divided in two parts, 22037 and 4025, that added together give a palindrome (26062).

The spelling of 220374025 in words is "two hundred twenty million, three hundred seventy-four thousand, twenty-five".

Divisors: 1 5 25 2969 14845 74225 8814961 44074805 220374025