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18229032 = 23321753281
BaseRepresentation
bin100010110001…
…0011100101000
31021022010112100
41011202130220
514131312112
61450413400
7310641603
oct105423450
937263470
1018229032
11a320818
126131260
133a13313
1425c733a
1519012dc
hex1162728

18229032 has 96 divisors (see below), whose sum is σ = 53450280. Its totient is φ = 5591040.

The previous prime is 18229031. The next prime is 18229039. The reversal of 18229032 is 23092281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18198756 + 30276 = 4266^2 + 174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18228987 and 18229005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18229031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64732 + ... + 65012.

Almost surely, 218229032 is an apocalyptic number.

18229032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18229032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725140).

18229032 is an abundant number, since it is smaller than the sum of its proper divisors (35221248).

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

18229032 is a wasteful number, since it uses less digits than its factorization.

18229032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18229032 is about 4269.5470485755. The cubic root of 18229032 is about 263.1810018222.

The spelling of 18229032 in words is "eighteen million, two hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 281 306 318 408 424 477 562 612 636 843 901 954 1124 1224 1272 1686 1802 1908 2248 2529 2703 3372 3604 3816 4777 5058 5406 6744 7208 8109 9554 10116 10812 14331 14893 16218 19108 20232 21624 28662 29786 32436 38216 42993 44679 57324 59572 64872 85986 89358 114648 119144 134037 171972 178716 253181 268074 343944 357432 506362 536148 759543 1012724 1072296 1519086 2025448 2278629 3038172 4557258 6076344 9114516 18229032