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225503493300 = 2232521371828901
BaseRepresentation
bin1101001000000100001…
…1100011110010110100
3210120001201121101021100
43102001003203302310
512143312343241200
6251332254250100
722202121031611
oct3220103436264
9716051541240
10225503493300
11876a9930198
12378547b6930
1318359c61807
14acb328d508
155cec44ed00
hex34810e3cb4

225503493300 has 108 divisors (see below), whose sum is σ = 711987890796. Its totient is φ = 59695296000.

The previous prime is 225503493263. The next prime is 225503493317. The reversal of 225503493300 is 3394305522.

225503493300 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 0 + 349 + 3 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14679260964 + 210824232336 = 121158^2 + 459156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 791151 + ... + 1037750.

Almost surely, 2225503493300 is an apocalyptic number.

225503493300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225503493300 is an abundant number, since it is smaller than the sum of its proper divisors (486484397496).

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

225503493300 is a wasteful number, since it uses less digits than its factorization.

225503493300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829058 (or 1829048 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 225503493300 its reverse (3394305522), we get a palindrome (228897798822).

The spelling of 225503493300 in words is "two hundred twenty-five billion, five hundred three million, four hundred ninety-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 137 150 180 225 274 300 411 450 548 685 822 900 1233 1370 1644 2055 2466 2740 3425 4110 4932 6165 6850 8220 10275 12330 13700 20550 24660 30825 41100 61650 123300 1828901 3657802 5486703 7315604 9144505 10973406 16460109 18289010 21946812 27433515 32920218 36578020 45722525 54867030 65840436 82300545 91445050 109734060 137167575 164601090 182890100 250559437 274335150 329202180 411502725 501118874 548670300 751678311 823005450 1002237748 1252797185 1503356622 1646010900 2255034933 2505594370 3006713244 3758391555 4510069866 5011188740 6263985925 7516783110 9020139732 11275174665 12527971850 15033566220 18791957775 22550349330 25055943700 37583915550 45100698660 56375873325 75167831100 112751746650 225503493300