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224323352145 = 325291091577021
BaseRepresentation
bin1101000011101010110…
…1101011011001010001
3210110000110221222221200
43100322231223121101
512133403234232040
6251015215541413
722130641014054
oct3207255533121
9713013858850
10224323352145
1187153758722
123758552a869
13181cc601439
14ac0064ca9b
155c7da38630
hex343ab6b651

224323352145 has 48 divisors (see below), whose sum is σ = 405925462800. Its totient is φ = 114453803520.

The previous prime is 224323352107. The next prime is 224323352159. The reversal of 224323352145 is 541253323422.

224323352145 is a `hidden beast` number, since 2 + 2 + 432 + 3 + 3 + 5 + 214 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3363188049 + 220960164096 = 57993^2 + 470064^2 .

It is not a de Polignac number, because 224323352145 - 210 = 224323351121 is a prime.

It is a super-2 number, since 2×2243233521452 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646266 + ... + 930755.

It is an arithmetic number, because the mean of its divisors is an integer number (8456780475).

Almost surely, 2224323352145 is an apocalyptic number.

It is an amenable number.

224323352145 is a deficient number, since it is larger than the sum of its proper divisors (181602110655).

224323352145 is a wasteful number, since it uses less digits than its factorization.

224323352145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577170 (or 1577167 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 224323352145 its reverse (541253323422), we get a palindrome (765576675567).

The spelling of 224323352145 in words is "two hundred twenty-four billion, three hundred twenty-three million, three hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 109 145 261 327 435 545 981 1305 1635 3161 4905 9483 15805 28449 47415 142245 1577021 4731063 7885105 14193189 23655315 45733609 70965945 137200827 171895289 228668045 411602481 515685867 686004135 859476445 1547057601 2058012405 2578429335 4984963381 7735288005 14954890143 24924816905 44864670429 74774450715 224323352145