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232203040 = 25510114369
BaseRepresentation
bin11011101011100…
…10001100100000
3121011221010200121
431311302030200
5433420444130
635012530024
75516456536
oct1565621440
9534833617
10232203040
1110a088643
1265920914
1339150c64
1422ba6156
15155bad7a
hexdd72320

232203040 has 48 divisors (see below), whose sum is σ = 554049720. Its totient is φ = 91955200.

The previous prime is 232203011. The next prime is 232203043. The reversal of 232203040 is 40302232.

It can be written as a sum of positive squares in 4 ways, for example, as 228977424 + 3225616 = 15132^2 + 1796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (232203043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8976 + ... + 23344.

Almost surely, 2232203040 is an apocalyptic number.

232203040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277024860).

232203040 is an abundant number, since it is smaller than the sum of its proper divisors (321846680).

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

232203040 is a wasteful number, since it uses less digits than its factorization.

232203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14485 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232203040 is about 15238.2098686165. The cubic root of 232203040 is about 614.6425666654.

Adding to 232203040 its reverse (40302232), we get a palindrome (272505272).

The spelling of 232203040 in words is "two hundred thirty-two million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 14369 16160 28738 57476 71845 114952 143690 229904 287380 459808 574760 1149520 1451269 2299040 2902538 5805076 7256345 11610152 14512690 23220304 29025380 46440608 58050760 116101520 232203040