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224114044240 = 24523472591513
BaseRepresentation
bin1101000010111000111…
…1001110110101010000
3210102110220010001111001
43100232033032311100
512132441143403430
6250542341431344
722122516641662
oct3205617166520
9712426101431
10224114044240
1187056598589
123752740b554
13181981385c8
14abc0926532
155c6a4913ca
hex342e3ced50

224114044240 has 80 divisors (see below), whose sum is σ = 555288887808. Its totient is φ = 83923524608.

The previous prime is 224114044213. The next prime is 224114044249. The reversal of 224114044240 is 42440411422.

It is a happy number.

224114044240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 224114044199 and 224114044208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224114044249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209277 + ... + 1382236.

Almost surely, 2224114044240 is an apocalyptic number.

224114044240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224114044240 is an abundant number, since it is smaller than the sum of its proper divisors (331174843568).

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

224114044240 is a wasteful number, since it uses less digits than its factorization.

224114044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591596 (or 2591590 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 224114044240 its reverse (42440411422), we get a palindrome (266554455662).

The spelling of 224114044240 in words is "two hundred twenty-four billion, one hundred fourteen million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 43240 86480 2591513 5183026 10366052 12957565 20732104 25915130 41464208 51830260 59604799 103660520 119209598 121801111 207321040 238419196 243602222 298023995 476838392 487204444 596047990 609005555 953676784 974408888 1192095980 1218011110 1948817776 2384191960 2436022220 2801425553 4768383920 4872044440 5602851106 9744088880 11205702212 14007127765 22411404424 28014255530 44822808848 56028511060 112057022120 224114044240