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450200232 = 233253117977
BaseRepresentation
bin11010110101011…
…000001010101000
31011101010112121200
4122311120022220
51410222401412
6112401204200
714104432056
oct3265301250
91141115550
10450200232
11211143109
12106930660
1372369b91
1443b111d6
15297cc9dc
hex1ad582a8

450200232 has 48 divisors (see below), whose sum is σ = 1242308340. Its totient is φ = 147234048.

The previous prime is 450200227. The next prime is 450200243. The reversal of 450200232 is 232002054.

It can be written as a sum of positive squares in 2 ways, for example, as 428241636 + 21958596 = 20694^2 + 4686^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55173 + ... + 62804.

Almost surely, 2450200232 is an apocalyptic number.

It is an amenable number.

450200232 is an abundant number, since it is smaller than the sum of its proper divisors (792108108).

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

450200232 is a wasteful number, since it uses less digits than its factorization.

450200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118042 (or 118035 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 450200232 is about 21217.9224242149. The cubic root of 450200232 is about 766.4230745548.

Adding to 450200232 its reverse (232002054), we get a palindrome (682202286).

The spelling of 450200232 in words is "four hundred fifty million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 117977 235954 353931 471908 707862 943816 1061793 1415724 2123586 2831448 4247172 6252781 8494344 12505562 18758343 25011124 37516686 50022248 56275029 75033372 112550058 150066744 225100116 450200232