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224244241340 = 225741379103079
BaseRepresentation
bin1101000011010111111…
…1111001001110111100
3210102210222002202022212
43100311333321032330
512133223011210330
6251003312155552
722125660413240
oct3206577711674
9712728082285
10224244241340
1187113034599
1237562b38bb8
13181b90c2a02
14abd3d38420
155c76b0d295
hex3435ff93bc

224244241340 has 96 divisors (see below), whose sum is σ = 552772684800. Its totient is φ = 74809889280.

The previous prime is 224244241321. The next prime is 224244241357. The reversal of 224244241340 is 43142442422.

It is a junction number, because it is equal to n+sod(n) for n = 224244241297 and 224244241306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2123921 + ... + 2226999.

It is an arithmetic number, because the mean of its divisors is an integer number (5758048800).

Almost surely, 2224244241340 is an apocalyptic number.

224244241340 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 224244241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276386342400).

224244241340 is an abundant number, since it is smaller than the sum of its proper divisors (328528443460).

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

224244241340 is a wasteful number, since it uses less digits than its factorization.

224244241340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103515 (or 103513 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 224244241340 its reverse (43142442422), we get a palindrome (267386683762).

The spelling of 224244241340 in words is "two hundred twenty-four billion, two hundred forty-four million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 379 410 574 758 820 1148 1435 1516 1895 2653 2870 3790 5306 5740 7580 10612 13265 15539 26530 31078 53060 62156 77695 103079 108773 155390 206158 217546 310780 412316 435092 515395 543865 721553 1030790 1087730 1443106 2061580 2175460 2886212 3607765 4226239 7215530 8452478 14431060 16904956 21131195 29583673 39066941 42262390 59167346 78133882 84524780 118334692 147918365 156267764 195334705 273468587 295836730 390669410 546937174 591673460 781338820 1093874348 1367342935 1601744581 2734685870 3203489162 5469371740 6406978324 8008722905 11212212067 16017445810 22424424134 32034891620 44848848268 56061060335 112122120670 224244241340