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213223472 = 24711199109
BaseRepresentation
bin11001011010110…
…00100000110000
3112212012212121122
430231120200300
5414041122342
633054041412
75166240530
oct1455304060
9485185548
10213223472
11aa3a4a50
125b4a9268
1335237147
14204654c0
1513abc4d2
hexcb58830

213223472 has 80 divisors (see below), whose sum is σ = 542227200. Its totient is φ = 78693120.

The previous prime is 213223459. The next prime is 213223481. The reversal of 213223472 is 274322312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18854 + ... + 27962.

It is an arithmetic number, because the mean of its divisors is an integer number (6777840).

Almost surely, 2213223472 is an apocalyptic number.

213223472 is a gapful number since it is divisible by the number (22) 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 213223472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271113600).

213223472 is an abundant number, since it is smaller than the sum of its proper divisors (329003728).

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

213223472 is a wasteful number, since it uses less digits than its factorization.

213223472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9154 (or 9148 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 213223472 is about 14602.1735368403. The cubic root of 213223472 is about 597.4180458664.

Adding to 213223472 its reverse (274322312), we get a palindrome (487545784).

The spelling of 213223472 in words is "two hundred thirteen million, two hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 9109 11704 18218 23408 36436 63763 72872 100199 127526 145744 173071 200398 255052 346142 400796 510104 692284 701393 801592 1020208 1211497 1384568 1402786 1603184 1903781 2422994 2769136 2805572 3807562 4845988 5611144 7615124 9691976 11222288 13326467 15230248 19383952 26652934 30460496 53305868 106611736 213223472