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225226320 = 24351185313
BaseRepresentation
bin11010110110010…
…10111001010000
3120200210200102120
431123022321100
5430124220240
634203214240
75403251334
oct1533127120
9520720376
10225226320
11106152960
1263517380
133787a517
1421cab7c4
1514b8dad0
hexd6cae50

225226320 has 80 divisors (see below), whose sum is σ = 761683392. Its totient is φ = 54599680.

The previous prime is 225226307. The next prime is 225226343. The reversal of 225226320 is 23622522.

225226320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40017 + ... + 45296.

Almost surely, 2225226320 is an apocalyptic number.

225226320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225226320 is an abundant number, since it is smaller than the sum of its proper divisors (536457072).

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

225226320 is a wasteful number, since it uses less digits than its factorization.

225226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85340 (or 85334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 225226320 is about 15007.5421038890. The cubic root of 225226320 is about 608.4240606951.

Adding to 225226320 its reverse (23622522), we get a palindrome (248848842).

The spelling of 225226320 in words is "two hundred twenty-five million, two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 85313 170626 255939 341252 426565 511878 682504 853130 938443 1023756 1279695 1365008 1706260 1876886 2047512 2559390 2815329 3412520 3753772 4095024 4692215 5118780 5630658 6825040 7507544 9384430 10237560 11261316 14076645 15015088 18768860 20475120 22522632 28153290 37537720 45045264 56306580 75075440 112613160 225226320