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233013032 = 2372594421
BaseRepresentation
bin11011110001101…
…11111100101000
3121020110021210022
431320313330220
5434122404112
635042140012
75526402200
oct1570677450
9536407708
10233013032
1110a59115a
1266051608
1339375845
1422d37400
15156cad72
hexde37f28

233013032 has 24 divisors (see below), whose sum is σ = 508230810. Its totient is φ = 99862560.

The previous prime is 233013031. The next prime is 233013037. The reversal of 233013032 is 230310332.

233013032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128278276 + 104734756 = 11326^2 + 10234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 233013032.

It is not an unprimeable number, because it can be changed into a prime (233013031) 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 5 ways as a sum of consecutive naturals, for example, 296819 + ... + 297602.

Almost surely, 2233013032 is an apocalyptic number.

It is an amenable number.

233013032 is an abundant number, since it is smaller than the sum of its proper divisors (275217778).

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

233013032 is a wasteful number, since it uses less digits than its factorization.

233013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594441 (or 594430 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 233013032 is about 15264.7643938582. The cubic root of 233013032 is about 615.3564215064.

Adding to 233013032 its reverse (230310332), we get a palindrome (463323364).

The spelling of 233013032 in words is "two hundred thirty-three million, thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 594421 1188842 2377684 4160947 4755368 8321894 16643788 29126629 33287576 58253258 116506516 233013032