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225993750544 = 2417269912
BaseRepresentation
bin1101001001111001000…
…1101111100000010000
3210121022220010000210001
43102132101233200100
512200313400004134
6251453050215344
722220223120202
oct3223621574020
9717286100701
10225993750544
1187930642771
1237970a24554
13184076b5163
14ad1c42a772
155d2a4e1414
hex349e46f810

225993750544 has 45 divisors (see below), whose sum is σ = 465201171741. Its totient is φ = 106334787840.

The previous prime is 225993750539. The next prime is 225993750559. The reversal of 225993750544 is 445057399522.

The square root of 225993750544 is 475388.

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., 175946691600 + 50047058944 = 419460^2 + 223712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32322889 + ... + 32329879.

Almost surely, 2225993750544 is an apocalyptic number.

225993750544 is the 475388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225993750544

225993750544 is an abundant number, since it is smaller than the sum of its proper divisors (239207421197).

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

225993750544 is an frugal number, since it uses more digits than its factorization.

225993750544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14024 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 225993750544 in words is "two hundred twenty-five billion, nine hundred ninety-three million, seven hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 6991 13982 27964 55928 111856 118847 237694 475388 950776 1901552 2020399 4040798 8081596 16163192 32326384 48874081 97748162 195496324 390992648 781985296 830859377 1661718754 3323437508 6646875016 13293750032 14124609409 28249218818 56498437636 112996875272 225993750544