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232201004 = 22721497951
BaseRepresentation
bin11011101011100…
…01101100101100
3121011221000220012
431311301230230
5433420413004
635012512352
75516450600
oct1565615454
9534830805
10232201004
1110a087062
126591b6b8
1339150059
1422ba5500
15155ba46e
hexdd71b2c

232201004 has 36 divisors (see below), whose sum is σ = 475927200. Its totient is φ = 98834400.

The previous prime is 232200907. The next prime is 232201007. The reversal of 232201004 is 400102232.

232201004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 232201004.

It is not an unprimeable number, because it can be changed into a prime (232201007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25229 + ... + 33179.

It is an arithmetic number, because the mean of its divisors is an integer number (13220200).

Almost surely, 2232201004 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 232201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237963600).

232201004 is an abundant number, since it is smaller than the sum of its proper divisors (243726196).

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

232201004 is a wasteful number, since it uses less digits than its factorization.

232201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 232201004 is about 15238.1430627226. The cubic root of 232201004 is about 614.6407702262.

Adding to 232201004 its reverse (400102232), we get a palindrome (632303236).

The spelling of 232201004 in words is "two hundred thirty-two million, two hundred one thousand, four".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 596 1043 2086 4172 7301 7951 14602 15902 29204 31804 55657 111314 222628 389599 779198 1184699 1558396 2369398 4738796 8292893 16585786 33171572 58050251 116100502 232201004