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224098152 = 23371347379
BaseRepresentation
bin11010101101101…
…11011101101000
3120121200100212120
431112313131220
5424332120102
634123111240
75360542245
oct1526673550
9517610776
10224098152
11105552293
1263072520
1337573b75
1421a965cc
1514a196bc
hexd5b7768

224098152 has 64 divisors (see below), whose sum is σ = 571276800. Its totient is φ = 73241280.

The previous prime is 224098139. The next prime is 224098153. The reversal of 224098152 is 251890422.

224098152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224098153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 591099 + ... + 591477.

It is an arithmetic number, because the mean of its divisors is an integer number (8926200).

Almost surely, 2224098152 is an apocalyptic number.

It is an amenable number.

224098152 is an abundant number, since it is smaller than the sum of its proper divisors (347178648).

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

224098152 is a wasteful number, since it uses less digits than its factorization.

224098152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 224098152 is about 14969.9082161515. The cubic root of 224098152 is about 607.4064859700.

The spelling of 224098152 in words is "two hundred twenty-four million, ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 347 379 426 568 694 758 852 1041 1137 1388 1516 1704 2082 2274 2776 3032 4164 4548 8328 9096 24637 26909 49274 53818 73911 80727 98548 107636 131513 147822 161454 197096 215272 263026 295644 322908 394539 526052 591288 645816 789078 1052104 1578156 3156312 9337423 18674846 28012269 37349692 56024538 74699384 112049076 224098152