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224253132544 = 2871171106867
BaseRepresentation
bin1101000011011010000…
…1110011111100000000
3210102211120211110202201
43100312201303330000
512133232300220134
6251004230522544
722126126114150
oct3206641637400
9712746743681
10224253132544
11871180576a1
1237565b06454
13181babb698c
14abd51b0760
155c777b7914
hex3436873f00

224253132544 has 72 divisors (see below), whose sum is σ = 512019122048. Its totient is φ = 96025512960.

The previous prime is 224253132539. The next prime is 224253132553. The reversal of 224253132544 is 445231352422.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2044999 + ... + 2151865.

Almost surely, 2224253132544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224253132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256009561024).

224253132544 is an abundant number, since it is smaller than the sum of its proper divisors (287765989504).

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

224253132544 is a wasteful number, since it uses less digits than its factorization.

224253132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108061 (or 108047 counting only the distinct ones).

The product of its digits is 230400, while the sum is 37.

Adding to 224253132544 its reverse (445231352422), we get a palindrome (669484484966).

The spelling of 224253132544 in words is "two hundred twenty-four billion, two hundred fifty-three million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1171 1792 2342 4684 8197 9368 16394 18736 32788 37472 65576 74944 106867 131152 149888 213734 262304 299776 427468 524608 748069 854936 1049216 1496138 1709872 2098432 2992276 3419744 5984552 6839488 11969104 13678976 23938208 27357952 47876416 95752832 125141257 191505664 250282514 500565028 875988799 1001130056 1751977598 2002260112 3503955196 4004520224 7007910392 8009040448 14015820784 16018080896 28031641568 32036161792 56063283136 112126566272 224253132544