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23411230224 = 2433737934781
BaseRepresentation
bin10101110011011010…
…110000011000010000
32020102120100201101220
4111303122300120100
5340421233331344
614431023525040
71456103113344
oct256332603020
966376321356
1023411230224
119a24035858
124654459780
132291333265
1411c1377624
15920490c19
hex5736b0610

23411230224 has 80 divisors (see below), whose sum is σ = 62279257920. Its totient is φ = 7572579840.

The previous prime is 23411230189. The next prime is 23411230243. The reversal of 23411230224 is 42203211432.

It is a happy number.

It is a super-2 number, since 2×234112302242 (a number of 22 digits) contains 22 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 = 23411230194 and 23411230203.

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, 655714 + ... + 690494.

It is an arithmetic number, because the mean of its divisors is an integer number (778490724).

Almost surely, 223411230224 is an apocalyptic number.

23411230224 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 23411230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31139628960).

23411230224 is an abundant number, since it is smaller than the sum of its proper divisors (38868027696).

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

23411230224 is a wasteful number, since it uses less digits than its factorization.

23411230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35208 (or 35202 counting only the distinct ones).

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

Adding to 23411230224 its reverse (42203211432), we get a palindrome (65614441656).

The spelling of 23411230224 in words is "twenty-three billion, four hundred eleven million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 379 444 592 758 888 1137 1516 1776 2274 3032 4548 6064 9096 14023 18192 28046 34781 42069 56092 69562 84138 104343 112184 139124 168276 208686 224368 278248 336552 417372 556496 673104 834744 1286897 1669488 2573794 3860691 5147588 7721382 10295176 13181999 15442764 20590352 26363998 30885528 39545997 52727996 61771056 79091994 105455992 158183988 210911984 316367976 487733963 632735952 975467926 1463201889 1950935852 2926403778 3901871704 5852807556 7803743408 11705615112 23411230224