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234211224 = 233135771301
BaseRepresentation
bin11011111010111…
…00011110011000
3121022201011101210
431331130132120
5434424224344
635123543120
75542522362
oct1575343630
9538634353
10234211224
1111022a3a5
126652aaa0
13396a5030
1423169d32
1515865db9
hexdf5c798

234211224 has 64 divisors (see below), whose sum is σ = 632147040. Its totient is φ = 71884800.

The previous prime is 234211213. The next prime is 234211249. The reversal of 234211224 is 422112432.

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 234211224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179374 + ... + 180674.

Almost surely, 2234211224 is an apocalyptic number.

234211224 is a gapful number since it is divisible by the number (24) 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 234211224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316073520).

234211224 is an abundant number, since it is smaller than the sum of its proper divisors (397935816).

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

234211224 is a wasteful number, since it uses less digits than its factorization.

234211224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1896 counting only the distinct ones).

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

The square root of 234211224 is about 15303.9610558835. The cubic root of 234211224 is about 616.4093739727.

Adding to 234211224 its reverse (422112432), we get a palindrome (656323656).

The spelling of 234211224 in words is "two hundred thirty-four million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 577 1154 1301 1731 2308 2602 3462 3903 4616 5204 6924 7501 7806 10408 13848 15002 15612 16913 22503 30004 31224 33826 45006 50739 60008 67652 90012 101478 135304 180024 202956 405912 750677 1501354 2252031 3002708 4504062 6005416 9008124 9758801 18016248 19517602 29276403 39035204 58552806 78070408 117105612 234211224