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213322424 = 23719232379
BaseRepresentation
bin11001011011100…
…00101010111000
3112212101220100112
430231300222320
5414102304144
633100123452
75200132160
oct1455605270
9485356315
10213322424
11aa462327
125b536588
13352701b3
142048d5a0
1513adb99e
hexcb70ab8

213322424 has 96 divisors (see below), whose sum is σ = 504336000. Its totient is φ = 82627776.

The previous prime is 213322397. The next prime is 213322457. The reversal of 213322424 is 424223312.

213322424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 213322424.

It is a congruent number.

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, 562667 + ... + 563045.

It is an arithmetic number, because the mean of its divisors is an integer number (5253500).

Almost surely, 2213322424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252168000).

213322424 is an abundant number, since it is smaller than the sum of its proper divisors (291013576).

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

213322424 is a wasteful number, since it uses less digits than its factorization.

213322424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 430 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 213322424 is about 14605.5614065328. The cubic root of 213322424 is about 597.5104474635.

Adding to 213322424 its reverse (424223312), we get a palindrome (637545736).

The spelling of 213322424 in words is "two hundred thirteen million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 379 437 529 532 644 758 874 1058 1064 1288 1516 1748 2116 2653 3032 3059 3496 3703 4232 5306 6118 7201 7406 8717 10051 10612 12236 14402 14812 17434 20102 21224 24472 28804 29624 34868 40204 50407 57608 61019 69736 70357 80408 100814 122038 140714 165623 200491 201628 244076 281428 331246 400982 403256 488152 562856 662492 801964 1159361 1324984 1403437 1603928 2318722 2806874 3809329 4637444 5613748 7618658 9274888 11227496 15237316 26665303 30474632 53330606 106661212 213322424