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214630032 = 24317833169
BaseRepresentation
bin11001100101011…
…11111010010000
3112221212100001110
430302233322100
5414421130112
633144133320
75214216351
oct1462577220
9487770043
10214630032
111001757a1
125ba67240
133560a426
142070dd28
1513c9913c
hexccafe90

214630032 has 80 divisors (see below), whose sum is σ = 594336960. Its totient is φ = 66502656.

The previous prime is 214630027. The next prime is 214630079. The reversal of 214630032 is 230036412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214629990 and 214630008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66144 + ... + 69312.

It is an arithmetic number, because the mean of its divisors is an integer number (7429212).

Almost surely, 2214630032 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 214630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297168480).

214630032 is an abundant number, since it is smaller than the sum of its proper divisors (379706928).

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

214630032 is a wasteful number, since it uses less digits than its factorization.

214630032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 214630032 is about 14650.2570625911. The cubic root of 214630032 is about 598.7288198481.

Adding to 214630032 its reverse (230036412), we get a palindrome (444666444).

The spelling of 214630032 in words is "two hundred fourteen million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3169 3984 4233 5644 6338 8466 9507 11288 12676 16932 19014 22576 25352 33864 38028 50704 53873 67728 76056 107746 152112 161619 215492 263027 323238 430984 526054 646476 789081 861968 1052108 1292952 1578162 2104216 2585904 3156324 4208432 4471459 6312648 8942918 12625296 13414377 17885836 26828754 35771672 53657508 71543344 107315016 214630032