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188342980225 = 52292412732
BaseRepresentation
bin1010111101101000011…
…1011100111010000001
3200000010221112201120021
42233122013130322001
511041211300331400
6222305031413441
716415212626421
oct2573207347201
9600127481507
10188342980225
117296a77a764
1230603824281
13149b725363a
149189c64481
154d74da271a
hex2bda1dce81

188342980225 has 81 divisors (see below), whose sum is σ = 251362272369. Its totient is φ = 139986201600.

The previous prime is 188342980213. The next prime is 188342980253. The reversal of 188342980225 is 522089243881.

The square root of 188342980225 is 433985.

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

It can be written as a sum of positive squares in 40 ways, for example, as 125870977089 + 62472003136 = 354783^2 + 249944^2 .

It is not a de Polignac number, because 188342980225 - 231 = 186195496577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2580040789 + ... + 2580040861.

Almost surely, 2188342980225 is an apocalyptic number.

188342980225 is the 433985-th square number.

188342980225 is the 216993-rd centered octagonal number.

It is an amenable number.

188342980225 is a deficient number, since it is larger than the sum of its proper divisors (63019292144).

188342980225 is an frugal number, since it uses more digits than its factorization.

188342980225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 188342980225 in words is "one hundred eighty-eight billion, three hundred forty-two million, nine hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 25 29 41 73 145 205 365 725 841 1025 1189 1681 1825 2117 2993 4205 5329 5945 8405 10585 14965 21025 26645 29725 34481 42025 48749 52925 61393 74825 86797 122713 133225 154541 172405 218489 243745 306965 433985 613565 772705 862025 1092445 1218725 1413721 1534825 2169925 2517113 3067825 3558677 3863525 4481689 5462225 6336181 7068605 8958049 12585565 17793385 22408445 31680905 35343025 44790245 62927825 88966925 103201633 112042225 158404525 183749249 223951225 259783421 516008165 918746245 1298917105 2580040825 4593731225 6494585525 7533719209 37668596045 188342980225