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224403135444 = 22327154987121
BaseRepresentation
bin1101000011111101111…
…0000001101111010100
3210110020001002102001200
43100333132001233110
512134034200313234
6251031145552500
722132630115325
oct3207736015724
9713201072050
10224403135444
11871947a1034
12375a81a5730
1318212cb6ca7
14ac0b09a44c
155c85a47d99
hex343f781bd4

224403135444 has 36 divisors (see below), whose sum is σ = 567255698100. Its totient is φ = 74799141120.

The previous prime is 224403135431. The next prime is 224403135457. The reversal of 224403135444 is 444531304422.

224403135444 is a `hidden beast` number, since 224 + 40 + 3 + 1 + 354 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (224403135431) and next prime (224403135457).

It can be written as a sum of positive squares in 2 ways, for example, as 103820572944 + 120582562500 = 322212^2 + 347250^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224403135399 and 224403135408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2532204 + ... + 2619324.

It is an arithmetic number, because the mean of its divisors is an integer number (15757102725).

Almost surely, 2224403135444 is an apocalyptic number.

It is an amenable number.

224403135444 is an abundant number, since it is smaller than the sum of its proper divisors (342852562656).

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

224403135444 is a wasteful number, since it uses less digits than its factorization.

224403135444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158680 (or 158675 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 224403135444 its reverse (444531304422), we get a palindrome (668934439866).

The spelling of 224403135444 in words is "two hundred twenty-four billion, four hundred three million, one hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71549 87121 143098 174242 214647 261363 286196 348484 429294 522726 643941 784089 858588 1045452 1287882 1568178 2575764 3136356 6233420429 12466840858 18700261287 24933681716 37400522574 56100783861 74801045148 112201567722 224403135444