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225242424 = 233311472017
BaseRepresentation
bin11010110110011…
…10110100111000
3120200211111112000
431123032310320
5430130224144
634203421000
75403346311
oct1533166470
9520744460
10225242424
11106163a70
1263524760
1337884954
1421cb3608
1514b93769
hexd6ced38

225242424 has 128 divisors (see below), whose sum is σ = 697420800. Its totient is φ = 66769920.

The previous prime is 225242417. The next prime is 225242431. The reversal of 225242424 is 424242522.

It is an interprime number because it is at equal distance from previous prime (225242417) and next prime (225242431).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110664 + ... + 112680.

It is an arithmetic number, because the mean of its divisors is an integer number (5448600).

Almost surely, 2225242424 is an apocalyptic number.

225242424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348710400).

225242424 is an abundant number, since it is smaller than the sum of its proper divisors (472178376).

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

225242424 is a wasteful number, since it uses less digits than its factorization.

225242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 225242424 is about 15008.0786245275. The cubic root of 225242424 is about 608.4385614094.

Adding to 225242424 its reverse (424242522), we get a palindrome (649484946).

The spelling of 225242424 in words is "two hundred twenty-five million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 47 54 66 72 88 94 99 108 132 141 188 198 216 264 282 297 376 396 423 517 564 594 792 846 1034 1128 1188 1269 1551 1692 2017 2068 2376 2538 3102 3384 4034 4136 4653 5076 6051 6204 8068 9306 10152 12102 12408 13959 16136 18153 18612 22187 24204 27918 36306 37224 44374 48408 54459 55836 66561 72612 88748 94799 108918 111672 133122 145224 177496 189598 199683 217836 266244 284397 379196 399366 435672 532488 568794 599049 758392 798732 853191 1042789 1137588 1198098 1597464 1706382 2085578 2275176 2396196 2559573 3128367 3412764 4171156 4792392 5119146 6256734 6825528 8342312 9385101 10238292 12513468 18770202 20476584 25026936 28155303 37540404 56310606 75080808 112621212 225242424