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213142224 = 24312833461
BaseRepresentation
bin11001011010001…
…00101011010000
3112212001202011110
430231010223100
5414031022344
633052213320
75165451621
oct1455045320
9485052143
10213142224
11aa3499a9
125b46a240
1335209179
1420443a48
1513aa33b9
hexcb44ad0

213142224 has 40 divisors (see below), whose sum is σ = 551205792. Its totient is φ = 70971520.

The previous prime is 213142217. The next prime is 213142253. The reversal of 213142224 is 422241312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213142224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59854 + ... + 63314.

Almost surely, 2213142224 is an apocalyptic number.

213142224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213142224 is an abundant number, since it is smaller than the sum of its proper divisors (338063568).

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

213142224 is a wasteful number, since it uses less digits than its factorization.

213142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4749 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 213142224 is about 14599.3912201845. The cubic root of 213142224 is about 597.3421549284.

Adding to 213142224 its reverse (422241312), we get a palindrome (635383536).

The spelling of 213142224 in words is "two hundred thirteen million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1283 2566 3461 3849 5132 6922 7698 10264 10383 13844 15396 20528 20766 27688 30792 41532 55376 61584 83064 166128 4440463 8880926 13321389 17761852 26642778 35523704 53285556 71047408 106571112 213142224