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23240322340 = 22519377322643
BaseRepresentation
bin10101101001001110…
…110010110100100100
32012222122202200212021
4111221032302310210
5340044010303330
614402040432524
71451626323544
oct255116626444
965878680767
1023240322340
119946613174
124607178744
132264ac3931
1411a67a9324
1591048167a
hex5693b2d24

23240322340 has 96 divisors (see below), whose sum is σ = 53486939520. Its totient is φ = 8451081216.

The previous prime is 23240322323. The next prime is 23240322341. The reversal of 23240322340 is 4322304232.

It is a super-2 number, since 2×232403223402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23240322341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1015059 + ... + 1037701.

It is an arithmetic number, because the mean of its divisors is an integer number (557155620).

Almost surely, 223240322340 is an apocalyptic number.

23240322340 is a gapful number since it is divisible by the number (20) 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 23240322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743469760).

23240322340 is an abundant number, since it is smaller than the sum of its proper divisors (30246617180).

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

23240322340 is a wasteful number, since it uses less digits than its factorization.

23240322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22781 (or 22779 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 23240322340 its reverse (4322304232), we get a palindrome (27562626572).

The spelling of 23240322340 in words is "twenty-three billion, two hundred forty million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 73 74 76 95 146 148 185 190 292 365 370 380 703 730 740 1387 1406 1460 2701 2774 2812 3515 5402 5548 6935 7030 10804 13505 13870 14060 22643 27010 27740 45286 51319 54020 90572 102638 113215 205276 226430 256595 430217 452860 513190 837791 860434 1026380 1652939 1675582 1720868 2151085 3305878 3351164 4188955 4302170 6611756 8264695 8377910 8604340 15918029 16529390 16755820 31405841 31836058 33058780 61158743 62811682 63672116 79590145 122317486 125623364 157029205 159180290 244634972 305793715 314058410 318360580 611587430 628116820 1162016117 1223174860 2324032234 4648064468 5810080585 11620161170 23240322340