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231949440 = 2733531433
BaseRepresentation
bin11011101001101…
…00010010000000
3121011110020211000
431310310102000
5433334340230
635003252000
75514352302
oct1564642200
9534406730
10231949440
11109a25058
126581a000
13390926b8
1422b3b972
151556ab60
hexdd34480

231949440 has 256 divisors, whose sum is σ = 849945600. Its totient is φ = 59719680.

The previous prime is 231949433. The next prime is 231949441. The reversal of 231949440 is 44949132.

231949440 is a `hidden beast` number, since 23 + 194 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231949395 and 231949404.

It is not an unprimeable number, because it can be changed into a prime (231949441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 535464 + ... + 535896.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2231949440 is an apocalyptic number.

231949440 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 231949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800).

231949440 is an abundant number, since it is smaller than the sum of its proper divisors (617996160).

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

231949440 is a wasteful number, since it uses less digits than its factorization.

231949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 231949440 is about 15229.8864079809. The cubic root of 231949440 is about 614.4187250153.

The spelling of 231949440 in words is "two hundred thirty-one million, nine hundred forty-nine thousand, four hundred forty".