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224243224240 = 24571921075491
BaseRepresentation
bin1101000011010111110…
…0000000111010110000
3210102210220012002010111
43100311330000322300
512133222231133430
6251003234311104
722125645646030
oct3206574007260
9712726162114
10224243224240
11871124aa412
1237562728494
13181b8b27a89
14abd3b518c0
155c769abc2a
hex3435f00eb0

224243224240 has 80 divisors (see below), whose sum is σ = 627206641920. Its totient is φ = 72836893440.

The previous prime is 224243224213. The next prime is 224243224267. The reversal of 224243224240 is 42422342422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224243224213) and next prime (224243224267).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 10527106 + ... + 10548385.

It is an arithmetic number, because the mean of its divisors is an integer number (7840083024).

Almost surely, 2224243224240 is an apocalyptic number.

224243224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224243224240 is an abundant number, since it is smaller than the sum of its proper divisors (402963417680).

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

224243224240 is a wasteful number, since it uses less digits than its factorization.

224243224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21075530 (or 21075524 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 224243224240 its reverse (42422342422), we get a palindrome (266665566662).

The spelling of 224243224240 in words is "two hundred twenty-four billion, two hundred forty-three million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 21075491 42150982 84301964 105377455 147528437 168603928 210754910 295056874 337207856 400434329 421509820 590113748 737642185 800868658 843019640 1180227496 1475284370 1601737316 1686039280 2002171645 2360454992 2803040303 2950568740 3203474632 4004343290 5606080606 5901137480 6406949264 8008686580 11212161212 11802274960 14015201515 16017373160 22424322424 28030403030 32034746320 44848644848 56060806060 112121612120 224243224240