Search a number
-
+
24350306220 = 223255310324781
BaseRepresentation
bin10110101011011001…
…000010111110101100
32022212000101201111100
4112223121002332230
5344332134244340
615104131323100
71521265121262
oct265331027654
968760351440
1024350306220
11a366127519
124876a50490
1323b0a5ba26
14126dd86432
15977b3a830
hex5ab642fac

24350306220 has 144 divisors (see below), whose sum is σ = 75989938752. Its totient is φ = 6308789760.

The previous prime is 24350306173. The next prime is 24350306221. The reversal of 24350306220 is 2260305342.

24350306220 is a `hidden beast` number, since 2 + 4 + 3 + 5 + 0 + 30 + 622 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (24350306221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 970230 + ... + 995010.

It is an arithmetic number, because the mean of its divisors is an integer number (527707908).

Almost surely, 224350306220 is an apocalyptic number.

24350306220 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 24350306220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37994969376).

24350306220 is an abundant number, since it is smaller than the sum of its proper divisors (51639632532).

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

24350306220 is a wasteful number, since it uses less digits than its factorization.

24350306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24952 (or 24947 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 24350306220 in words is "twenty-four billion, three hundred fifty million, three hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 103 106 159 180 206 212 265 309 318 412 477 515 530 618 636 795 927 954 1030 1060 1236 1545 1590 1854 1908 2060 2385 3090 3180 3708 4635 4770 5459 6180 9270 9540 10918 16377 18540 21836 24781 27295 32754 49131 49562 54590 65508 74343 81885 98262 99124 109180 123905 148686 163770 196524 223029 245655 247810 297372 327540 371715 446058 491310 495620 743430 892116 982620 1115145 1313393 1486860 2230290 2552443 2626786 3940179 4460580 5104886 5253572 6566965 7657329 7880358 10209772 11820537 12762215 13133930 15314658 15760716 19700895 22971987 23641074 25524430 26267860 30629316 38286645 39401790 45943974 47282148 51048860 59102685 76573290 78803580 91887948 114859935 118205370 135279479 153146580 229719870 236410740 270558958 405838437 459439740 541117916 676397395 811676874 1217515311 1352794790 1623353748 2029192185 2435030622 2705589580 4058384370 4870061244 6087576555 8116768740 12175153110 24350306220