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234106224 = 243111792477
BaseRepresentation
bin11011111010000…
…10110101110000
3121022111211100220
431331002311300
5434412344344
635121413040
75541604302
oct1575026560
9538454326
10234106224
11110168520
126649a180
13396692c1
142313d972
1515844c19
hexdf42d70

234106224 has 80 divisors (see below), whose sum is σ = 663707520. Its totient is φ = 70516480.

The previous prime is 234106199. The next prime is 234106237. The reversal of 234106224 is 422601432.

It is a super-3 number, since 3×2341062243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234106194 and 234106203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93274 + ... + 95750.

It is an arithmetic number, because the mean of its divisors is an integer number (8296344).

Almost surely, 2234106224 is an apocalyptic number.

234106224 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 234106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331853760).

234106224 is an abundant number, since it is smaller than the sum of its proper divisors (429601296).

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

234106224 is a wasteful number, since it uses less digits than its factorization.

234106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 234106224 is about 15300.5301868922. The cubic root of 234106224 is about 616.3172453695.

Adding to 234106224 its reverse (422601432), we get a palindrome (656707656).

The spelling of 234106224 in words is "two hundred thirty-four million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 179 264 358 528 537 716 1074 1432 1969 2148 2477 2864 3938 4296 4954 5907 7431 7876 8592 9908 11814 14862 15752 19816 23628 27247 29724 31504 39632 47256 54494 59448 81741 94512 108988 118896 163482 217976 326964 435952 443383 653928 886766 1307856 1330149 1773532 2660298 3547064 4877213 5320596 7094128 9754426 10641192 14631639 19508852 21282384 29263278 39017704 58526556 78035408 117053112 234106224