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2252325460 = 2257112314289
BaseRepresentation
bin1000011000111111…
…1100001001010100
312210222010222200111
42012033330021110
514103043403320
61011255052404
7106546310350
oct20617741124
95728128614
102252325460
11a56419500
1252a371104
1329b822378
141751bc460
15d2b05a5a
hex863fc254

2252325460 has 144 divisors (see below), whose sum is σ = 6134768640. Its totient is φ = 679219200.

The previous prime is 2252325437. The next prime is 2252325463. The reversal of 2252325460 is 645232522.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252325463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522996 + ... + 527284.

It is an arithmetic number, because the mean of its divisors is an integer number (42602560).

Almost surely, 22252325460 is an apocalyptic number.

2252325460 is a gapful number since it is divisible by the number (20) 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 2252325460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067384320).

2252325460 is an abundant number, since it is smaller than the sum of its proper divisors (3882443180).

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

2252325460 is a wasteful number, since it uses less digits than its factorization.

2252325460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2252325460 is about 47458.6710728398. The cubic root of 2252325460 is about 1310.8219808733.

Adding to 2252325460 its reverse (645232522), we get a palindrome (2897557982).

The spelling of 2252325460 in words is "two billion, two hundred fifty-two million, three hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 121 124 140 154 155 217 220 242 308 310 341 385 434 484 605 620 682 770 847 868 1085 1210 1364 1540 1694 1705 2170 2387 2420 3388 3410 3751 4235 4289 4340 4774 6820 7502 8470 8578 9548 11935 15004 16940 17156 18755 21445 23870 26257 30023 37510 42890 47179 47740 52514 60046 75020 85780 94358 105028 120092 131285 132959 150115 188716 235895 262570 265918 300230 330253 471790 518969 525140 531836 600460 660506 664795 930713 943580 1037938 1321012 1329590 1462549 1651265 1861426 2075876 2594845 2659180 2925098 3302530 3632783 3722852 4653565 5189690 5850196 6605060 7265566 7312745 9307130 10237843 10379380 14531132 14625490 16088039 18163915 18614260 20475686 29250980 32176078 36327830 40951372 51189215 64352156 72655660 80440195 102378430 112616273 160880390 204756860 225232546 321760780 450465092 563081365 1126162730 2252325460