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2512253430 = 23252310311783
BaseRepresentation
bin1001010110111101…
…1111000111110110
320111002020200211100
42111233133013312
520121114102210
61053142150530
7116153542011
oct22557370766
96432220740
102512253430
11107a113205
125a1422446
1331062c8bb
1419b920378
15ea84b5c0
hex95bdf1f6

2512253430 has 96 divisors (see below), whose sum is σ = 6882610176. Its totient is φ = 634531392.

The previous prime is 2512253399. The next prime is 2512253467. The reversal of 2512253430 is 343522152.

It is a happy number.

2512253430 is a `hidden beast` number, since 2 + 5 + 1 + 225 + 3 + 430 = 666.

It is a super-2 number, since 2×25122534302 = 12622834593093529800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2512253394 and 2512253403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207319 + ... + 219101.

It is an arithmetic number, because the mean of its divisors is an integer number (71693856).

Almost surely, 22512253430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512253430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441305088).

2512253430 is an abundant number, since it is smaller than the sum of its proper divisors (4370356746).

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

2512253430 is a wasteful number, since it uses less digits than its factorization.

2512253430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2512253430 is about 50122.3845202919. The cubic root of 2512253430 is about 1359.4225904544.

Adding to 2512253430 its reverse (343522152), we get a palindrome (2855775582).

The spelling of 2512253430 in words is "two billion, five hundred twelve million, two hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 103 115 138 206 207 230 309 345 414 515 618 690 927 1030 1035 1545 1854 2070 2369 3090 4635 4738 7107 9270 11783 11845 14214 21321 23566 23690 35349 35535 42642 58915 70698 71070 106047 106605 117830 176745 212094 213210 271009 353490 530235 542018 813027 1060470 1213649 1355045 1626054 2427298 2439081 2710090 3640947 4065135 4878162 6068245 7281894 8130270 10922841 12136490 12195405 18204735 21845682 24390810 27913927 36409470 54614205 55827854 83741781 109228410 139569635 167483562 251225343 279139270 418708905 502450686 837417810 1256126715 2512253430