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530215200 = 25335224547
BaseRepresentation
bin11111100110100…
…111000100100000
31100221200201112000
4133212213010200
52041213341300
6124340204000
716065516624
oct3746470440
91327621460
10530215200
11252324589
12129699600
1385b04008
14505bd184
1531835c00
hex1f9a7120

530215200 has 144 divisors (see below), whose sum is σ = 1917689760. Its totient is φ = 141384960.

The previous prime is 530215199. The next prime is 530215211. The reversal of 530215200 is 2512035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5302152002 = 562256316622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9327 + ... + 33873.

It is an arithmetic number, because the mean of its divisors is an integer number (13317290).

Almost surely, 2530215200 is an apocalyptic number.

530215200 is a gapful number since it is divisible by the number (50) 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 530215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958844880).

530215200 is an abundant number, since it is smaller than the sum of its proper divisors (1387474560).

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

530215200 is a wasteful number, since it uses less digits than its factorization.

530215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 530215200 is about 23026.4022374317. The cubic root of 530215200 is about 809.3767496471.

Adding to 530215200 its reverse (2512035), we get a palindrome (532727235).

It can be divided in two parts, 5302 and 15200, that added together give a palindrome (20502).

The spelling of 530215200 in words is "five hundred thirty million, two hundred fifteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 24547 49094 73641 98188 122735 147282 196376 220923 245470 294564 368205 392752 441846 490940 589128 613675 662769 736410 785504 883692 981880 1104615 1178256 1227350 1325538 1472820 1767384 1841025 1963760 2209230 2356512 2454700 2651076 2945640 3313845 3534768 3682050 3927520 4418460 4909400 5302152 5523075 5891280 6627690 7069536 7364100 8836920 9818800 10604304 11046150 11782560 13255380 14728200 16569225 17673840 19637600 21208608 22092300 26510760 29456400 33138450 35347680 44184600 53021520 58912800 66276900 88369200 106043040 132553800 176738400 265107600 530215200