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224104433240 = 235171811919533
BaseRepresentation
bin1101000010110110101…
…0100100011001011000
3210102110020000202200002
43100231222210121120
512132431213330430
6250541355432132
722122342152402
oct3205552443130
9712406022602
10224104433240
1187051123706
1237524155648
1318196151b1c
14abbd543b72
155c696e3845
hex342daa4658

224104433240 has 128 divisors (see below), whose sum is σ = 539712875520. Its totient is φ = 83454566400.

The previous prime is 224104433237. The next prime is 224104433261. The reversal of 224104433240 is 42334401422.

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 31 ways as a sum of consecutive naturals, for example, 23503514 + ... + 23513046.

It is an arithmetic number, because the mean of its divisors is an integer number (4216506840).

Almost surely, 2224104433240 is an apocalyptic number.

224104433240 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 224104433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269856437760).

224104433240 is an abundant number, since it is smaller than the sum of its proper divisors (315608442280).

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

224104433240 is a wasteful number, since it uses less digits than its factorization.

224104433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 224104433240 its reverse (42334401422), we get a palindrome (266438834662).

The spelling of 224104433240 in words is "two hundred twenty-four billion, one hundred four million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 181 191 340 362 382 680 724 764 905 955 1448 1528 1810 1910 3077 3247 3620 3820 6154 6494 7240 7640 9533 12308 12988 15385 16235 19066 24616 25976 30770 32470 34571 38132 47665 61540 64940 69142 76264 95330 123080 129880 138284 162061 172855 190660 276568 324122 345710 381320 587707 648244 691420 810305 1175414 1296488 1382840 1620610 1725473 1820803 2350828 2938535 3241220 3450946 3641606 4701656 5877070 6482440 6901892 7283212 8627365 9104015 11754140 13803784 14566424 17254730 18208030 23508280 29333041 30953651 34509460 36416060 58666082 61907302 69018920 72832120 117332164 123814604 146665205 154768255 234664328 247629208 293330410 309536510 329565343 586660820 619073020 659130686 1173321640 1238146040 1318261372 1647826715 2636522744 3295653430 5602610831 6591306860 11205221662 13182613720 22410443324 28013054155 44820886648 56026108310 112052216620 224104433240