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224201032 = 231117149867
BaseRepresentation
bin11010101110100…
…00100101001000
3120121212120222221
431113100211020
5424343413112
634125223424
75361451216
oct1527204510
9517776887
10224201032
11105612610
1263101b74
13375ab943
1421ac1cb6
1514a39e07
hexd5d0948

224201032 has 32 divisors (see below), whose sum is σ = 485572320. Its totient is φ = 95914240.

The previous prime is 224200979. The next prime is 224201039. The reversal of 224201032 is 230102422.

It is a super-3 number, since 3×2242010323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 224200997 and 224201015.

It is not an unprimeable number, because it can be changed into a prime (224201039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73438 + ... + 76429.

It is an arithmetic number, because the mean of its divisors is an integer number (15174135).

Almost surely, 2224201032 is an apocalyptic number.

224201032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224201032 is an abundant number, since it is smaller than the sum of its proper divisors (261371288).

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

224201032 is a wasteful number, since it uses less digits than its factorization.

224201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149901 (or 149897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 224201032 is about 14973.3440486753. The cubic root of 224201032 is about 607.4994220614.

Adding to 224201032 its reverse (230102422), we get a palindrome (454303454).

The spelling of 224201032 in words is "two hundred twenty-four million, two hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 149867 299734 599468 1198936 1648537 2547739 3297074 5095478 6594148 10190956 13188296 20381912 28025129 56050258 112100516 224201032