Search a number
-
+
24312222424 = 2371076136619
BaseRepresentation
bin10110101001000111…
…110001001011011000
32022202100201212100101
4112221013301023120
5344242412104144
615100251145144
71520323323640
oct265107611330
968670655311
1024312222424
11a346685606
1248661451b4
1323a5bb6439
141268cb1520
159746166d4
hex5a91f12d8

24312222424 has 64 divisors (see below), whose sum is σ = 52678252800. Its totient is φ = 10303749504.

The previous prime is 24312222391. The next prime is 24312222481. The reversal of 24312222424 is 42422221342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 24312222392 and 24312222401.

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, 3669787 + ... + 3676405.

It is an arithmetic number, because the mean of its divisors is an integer number (823097700).

Almost surely, 224312222424 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 24312222424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26339126400).

24312222424 is an abundant number, since it is smaller than the sum of its proper divisors (28366030376).

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

24312222424 is a wasteful number, since it uses less digits than its factorization.

24312222424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7348 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

Adding to 24312222424 its reverse (42422221342), we get a palindrome (66734443766).

The spelling of 24312222424 in words is "twenty-four billion, three hundred twelve million, two hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 613 749 856 1226 1498 2452 2996 4291 4904 5992 6619 8582 13238 17164 26476 34328 46333 52952 65591 92666 131182 185332 262364 370664 459137 524728 708233 918274 1416466 1836548 2832932 3673096 4057447 4957631 5665864 8114894 9915262 16229788 19830524 28402129 32459576 39661048 56804258 113608516 227217032 434146829 868293658 1736587316 3039027803 3473174632 6078055606 12156111212 24312222424