Search a number
-
+
3204222424 = 23132171091279
BaseRepresentation
bin1011111011111100…
…1000110111011000
322021022022100211121
42332333020313120
523030240104144
61245541335024
7142255304224
oct27677106730
98238270747
103204222424
1113a4777807
12755107474
133c0ab9700
142257a7784
1513b484384
hexbefc8dd8

3204222424 has 96 divisors (see below), whose sum is σ = 6956928000. Its totient is φ = 1378031616.

The previous prime is 3204222409. The next prime is 3204222433. The reversal of 3204222424 is 4242224023.

3204222424 = 3872 + 3882 + ... + 21302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2504617 + ... + 2505895.

It is an arithmetic number, because the mean of its divisors is an integer number (72468000).

Almost surely, 23204222424 is an apocalyptic number.

3204222424 is a gapful number since it is divisible by the number (34) 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 3204222424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478464000).

3204222424 is an abundant number, since it is smaller than the sum of its proper divisors (3752705576).

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

3204222424 is a wasteful number, since it uses less digits than its factorization.

3204222424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 3204222424 is about 56605.8514996462. The cubic root of 3204222424 is about 1474.2604622121.

Adding to 3204222424 its reverse (4242224023), we get a palindrome (7446446447).

The spelling of 3204222424 in words is "three billion, two hundred four million, two hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 109 136 169 218 221 338 436 442 676 872 884 1279 1352 1417 1768 1853 2558 2834 2873 3706 5116 5668 5746 7412 10232 11336 11492 14824 16627 18421 21743 22984 24089 33254 36842 43486 48178 66508 73684 86972 96356 133016 139411 147368 173944 192712 216151 278822 282659 313157 432302 557644 565318 626314 864604 1115288 1130636 1252628 1729208 1812343 2261272 2369987 2505256 3624686 3674567 4739974 7249372 7349134 9479948 14498744 14698268 18959896 23560459 29396536 30809831 47120918 61619662 94241836 123239324 188483672 246478648 400527803 801055606 1602111212 3204222424