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213433242 = 231137711231
BaseRepresentation
bin11001011100010…
…11101110011010
3112212121112100220
430232023232122
5414114330432
633102340510
75201103231
oct1456135632
9485545326
10213433242
11aa528610
125b58a736
13352ab779
14204bbb18
1513b0e72c
hexcb8bb9a

213433242 has 64 divisors (see below), whose sum is σ = 485388288. Its totient is φ = 61992000.

The previous prime is 213433237. The next prime is 213433291. The reversal of 213433242 is 242334312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172767 + ... + 173997.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2213433242 is an apocalyptic number.

213433242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213433242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242694144).

213433242 is an abundant number, since it is smaller than the sum of its proper divisors (271955046).

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

213433242 is a wasteful number, since it uses less digits than its factorization.

213433242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355.

The product of its digits is 3456, while the sum is 24.

The square root of 213433242 is about 14609.3546058681. The cubic root of 213433242 is about 597.6138956445.

Adding to 213433242 its reverse (242334312), we get a palindrome (455767554).

The spelling of 213433242 in words is "two hundred thirteen million, four hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 71 74 111 142 213 222 407 426 781 814 1221 1231 1562 2343 2442 2462 2627 3693 4686 5254 7386 7881 13541 15762 27082 28897 40623 45547 57794 81246 86691 87401 91094 136641 173382 174802 262203 273282 501017 524406 961411 1002034 1503051 1922822 2884233 3006102 3233837 5768466 6467674 9701511 19403022 35572207 71144414 106716621 213433242