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224323021431 = 3337594019491
BaseRepresentation
bin1101000011101010110…
…0011010101001110111
3210110000110100012022000
43100322230122221313
512133403143141211
6251015204510343
722130635135635
oct3207254325167
9713013305260
10224323021431
1187153552203
12375853ab3b3
13181cc516a52
14ac005a4355
155c7d9c0656
hex343ab1aa77

224323021431 has 64 divisors (see below), whose sum is σ = 347999500800. Its totient is φ = 142668864000.

The previous prime is 224323021427. The next prime is 224323021451. The reversal of 224323021431 is 134120323422.

224323021431 is a `hidden beast` number, since 224 + 3 + 2 + 3 + 0 + 2 + 1 + 431 = 666.

It is not a de Polignac number, because 224323021431 - 22 = 224323021427 is a prime.

It is a super-2 number, since 2×2243230214312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224323021395 and 224323021404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224323021411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23630596 + ... + 23640086.

It is an arithmetic number, because the mean of its divisors is an integer number (5437492200).

Almost surely, 2224323021431 is an apocalyptic number.

224323021431 is a deficient number, since it is larger than the sum of its proper divisors (123676479369).

224323021431 is a wasteful number, since it uses less digits than its factorization.

224323021431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 224323021431 its reverse (134120323422), we get a palindrome (358443344853).

The spelling of 224323021431 in words is "two hundred twenty-four billion, three hundred twenty-three million, twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 59 111 177 333 401 531 999 1203 1593 2183 3609 6549 9491 10827 14837 19647 23659 28473 44511 58941 70977 85419 133533 212931 256257 351167 400599 559969 638793 875383 1053501 1679907 2626149 3160503 3805891 5039721 7878447 9481509 11417673 15119163 20718853 23635341 34253019 62156559 102759057 140817967 186469677 224547569 422453901 559409031 673642707 1267361703 2020928121 3802085109 6062784363 8308260053 24924780159 74774340477 224323021431