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214003232 = 2519523673
BaseRepresentation
bin11001100000101…
…10111000100000
3112220200111020122
430300112320200
5414241100412
633122455412
75205666062
oct1460267040
9486614218
10214003232
11aa887883
125b804568
133544b041
14205c9732
1513bc3572
hexcc16e20

214003232 has 48 divisors (see below), whose sum is σ = 445001760. Its totient is φ = 101025792.

The previous prime is 214003211. The next prime is 214003291. The reversal of 214003232 is 232300412.

It is a self number, because there is not a number n which added to its sum of digits gives 214003232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317648 + ... + 318320.

It is an arithmetic number, because the mean of its divisors is an integer number (9270870).

Almost surely, 2214003232 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 214003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222500880).

214003232 is an abundant number, since it is smaller than the sum of its proper divisors (230998528).

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

214003232 is a wasteful number, since it uses less digits than its factorization.

214003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 214003232 is about 14628.8493053965. The cubic root of 214003232 is about 598.1454141660.

Adding to 214003232 its reverse (232300412), we get a palindrome (446303644).

The spelling of 214003232 in words is "two hundred fourteen million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 523 608 673 1046 1346 2092 2692 4184 5384 8368 9937 10768 12787 16736 19874 21536 25574 39748 51148 79496 102296 158992 204592 317984 351979 409184 703958 1407916 2815832 5631664 6687601 11263328 13375202 26750404 53500808 107001616 214003232