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240223000 = 23532331031
BaseRepresentation
bin11100101000110…
…00001100011000
3121202000121000011
432110120030120
5442444114000
635500451304
75644601413
oct1624301430
9552017004
10240223000
11113666106
1268549b34
133a9cb4b4
1423c92b7a
15161522ba
hexe518318

240223000 has 64 divisors (see below), whose sum is σ = 565081920. Its totient is φ = 95584000.

The previous prime is 240222967. The next prime is 240223003. The reversal of 240223000 is 322042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240223003) 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 15 ways as a sum of consecutive naturals, for example, 232485 + ... + 233515.

It is an arithmetic number, because the mean of its divisors is an integer number (8829405).

Almost surely, 2240223000 is an apocalyptic number.

240223000 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 240223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282540960).

240223000 is an abundant number, since it is smaller than the sum of its proper divisors (324858920).

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

240223000 is a wasteful number, since it uses less digits than its factorization.

240223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 240223000 is about 15499.1290077862. The cubic root of 240223000 is about 621.6389173988.

Adding to 240223000 its reverse (322042), we get a palindrome (240545042).

The spelling of 240223000 in words is "two hundred forty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1031 1165 1864 2062 2330 4124 4660 5155 5825 8248 9320 10310 11650 20620 23300 25775 29125 41240 46600 51550 58250 103100 116500 128875 206200 233000 240223 257750 480446 515500 960892 1031000 1201115 1921784 2402230 4804460 6005575 9608920 12011150 24022300 30027875 48044600 60055750 120111500 240223000