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224206985025 = 3252315672
BaseRepresentation
bin1101000011001111000…
…1110001011101000001
3210102201100222221021100
43100303301301131001
512133133442010100
6250555501445013
722125025633242
oct3206361613501
9712640887240
10224206985025
11870a3aa8351
1237552570769
13181b1479c5a
14abccddacc9
155c736ee400
hex3433c71741

224206985025 has 27 divisors (see below), whose sum is σ = 401592343971. Its totient is φ = 119573270640.

The previous prime is 224206985011. The next prime is 224206985071. The reversal of 224206985025 is 520589602422.

It is a happy number.

The square root of 224206985025 is 473505.

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., 80714514609 + 143492470416 = 284103^2 + 378804^2 .

It is not a de Polignac number, because 224206985025 - 229 = 223670114113 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7086792 + ... + 7118358.

Almost surely, 2224206985025 is an apocalyptic number.

224206985025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

224206985025 is the 473505-th square number.

224206985025 is the 236753-rd centered octagonal number.

It is an amenable number.

224206985025 is a deficient number, since it is larger than the sum of its proper divisors (177385358946).

224206985025 is an frugal number, since it uses more digits than its factorization.

224206985025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63150 (or 31575 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 224206985025 in words is "two hundred twenty-four billion, two hundred six million, nine hundred eighty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 31567 94701 157835 284103 473505 789175 1420515 2367525 7102575 996475489 2989426467 4982377445 8968279401 14947132335 24911887225 44841397005 74735661675 224206985025