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213315480 = 23325784649
BaseRepresentation
bin11001011011011…
…10111110011000
3112212101112211100
430231232332120
5414102043410
633100031400
75200103010
oct1455567630
9485345740
10213315480
11aa458094
125b532560
1335269ca1
142048ac40
1513ad98c0
hexcb6ef98

213315480 has 96 divisors (see below), whose sum is σ = 792324000. Its totient is φ = 48757248.

The previous prime is 213315437. The next prime is 213315491. The reversal of 213315480 is 84513312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39805 + ... + 44844.

It is an arithmetic number, because the mean of its divisors is an integer number (8253375).

Almost surely, 2213315480 is an apocalyptic number.

213315480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213315480 is an abundant number, since it is smaller than the sum of its proper divisors (579008520).

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

213315480 is a wasteful number, since it uses less digits than its factorization.

213315480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84673 (or 84666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 213315480 is about 14605.3236869301. The cubic root of 213315480 is about 597.5039640733.

Adding to 213315480 its reverse (84513312), we get a palindrome (297828792).

The spelling of 213315480 in words is "two hundred thirteen million, three hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 84649 169298 253947 338596 423245 507894 592543 677192 761841 846490 1015788 1185086 1269735 1523682 1692980 1777629 2031576 2370172 2539470 2962715 3047364 3385960 3555258 3809205 4740344 5078940 5332887 5925430 6094728 7110516 7618410 8888145 10157880 10665774 11850860 14221032 15236820 17776290 21331548 23701720 26664435 30473640 35552580 42663096 53328870 71105160 106657740 213315480