Search a number
-
+
221424313344 = 2103135544479
BaseRepresentation
bin1100111000110111101…
…0101110010000000000
3210011112102220120100020
43032031322232100000
512111434111011334
6245415415253440
721666046415643
oct3161572562000
9704472816306
10221424313344
11859a6285993
1236ab667a280
1317b59b09070
14aa07607a5a
155b5e288e49
hex338deae400

221424313344 has 88 divisors (see below), whose sum is σ = 635574831360. Its totient is φ = 68130545664.

The previous prime is 221424313339. The next prime is 221424313361. The reversal of 221424313344 is 443313424122.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 2732304 + ... + 2812175.

Almost surely, 2221424313344 is an apocalyptic number.

221424313344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221424313344 is an abundant number, since it is smaller than the sum of its proper divisors (414150518016).

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

221424313344 is a wasteful number, since it uses less digits than its factorization.

221424313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544515 (or 5544497 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 221424313344 its reverse (443313424122), we get a palindrome (664737737466).

The spelling of 221424313344 in words is "two hundred twenty-one billion, four hundred twenty-four million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 5544479 11088958 16633437 22177916 33266874 44355832 66533748 72078227 88711664 133067496 144156454 177423328 216234681 266134992 288312908 354846656 432469362 532269984 576625816 709693312 864938724 1064539968 1153251632 1419386624 1729877448 2129079936 2306503264 2838773248 3459754896 4258159872 4613006528 5677546496 6919509792 8516319744 9226013056 13839019584 17032639488 18452026112 27678039168 36904052224 55356078336 73808104448 110712156672 221424313344