Search a number
-
+
213031224 = 23327260383
BaseRepresentation
bin11001011001010…
…01100100111000
3112211212002220100
430230221210320
5414013444344
633045555400
75164510200
oct1454514470
9484762810
10213031224
11aa28356a
125b415b60
133519a7a3
1420415400
1513a80569
hexcb29938

213031224 has 72 divisors (see below), whose sum is σ = 671168160. Its totient is φ = 60865056.

The previous prime is 213031223. The next prime is 213031271. The reversal of 213031224 is 422130312.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 213031197 and 213031206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213031223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26664 + ... + 33719.

It is an arithmetic number, because the mean of its divisors is an integer number (9321780).

Almost surely, 2213031224 is an apocalyptic number.

213031224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213031224 is an abundant number, since it is smaller than the sum of its proper divisors (458136936).

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

213031224 is a wasteful number, since it uses less digits than its factorization.

213031224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60409 (or 60395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213031224 is about 14595.5891967402. The cubic root of 213031224 is about 597.2384425005.

Adding to 213031224 its reverse (422130312), we get a palindrome (635161536).

The spelling of 213031224 in words is "two hundred thirteen million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 60383 120766 181149 241532 362298 422681 483064 543447 724596 845362 1086894 1268043 1449192 1690724 2173788 2536086 2958767 3381448 3804129 4347576 5072172 5917534 7608258 8876301 10144344 11835068 15216516 17752602 23670136 26628903 30433032 35505204 53257806 71010408 106515612 213031224