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23420334224 = 2474117928493
BaseRepresentation
bin10101110011111101…
…011111000010010000
32020110012111020202002
4111303331133002100
5340431101143344
614431551013132
71456243361540
oct256375370220
966405436662
1023420334224
119a29193821
12465750a1a8
1322931a0041
1411c2667320
1592118d44e
hex573f5f090

23420334224 has 80 divisors (see below), whose sum is σ = 53422830720. Its totient is φ = 9737425920.

The previous prime is 23420334193. The next prime is 23420334253. The reversal of 23420334224 is 42243302432.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807722 + ... + 836214.

It is an arithmetic number, because the mean of its divisors is an integer number (667785384).

Almost surely, 223420334224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23420334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26711415360).

23420334224 is an abundant number, since it is smaller than the sum of its proper divisors (30002496496).

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

23420334224 is a wasteful number, since it uses less digits than its factorization.

23420334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 28722 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 23420334224 its reverse (42243302432), we get a palindrome (65663636656).

The spelling of 23420334224 in words is "twenty-three billion, four hundred twenty million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 179 287 328 358 574 656 716 1148 1253 1432 2296 2506 2864 4592 5012 7339 10024 14678 20048 28493 29356 51373 56986 58712 102746 113972 117424 199451 205492 227944 398902 410984 455888 797804 821968 1168213 1595608 2336426 3191216 4672852 5100247 8177491 9345704 10200494 16354982 18691408 20400988 32709964 35701729 40801976 65419928 71403458 81603952 130839856 142806916 209110127 285613832 418220254 571227664 836440508 1463770889 1672881016 2927541778 3345762032 5855083556 11710167112 23420334224