Search a number
-
+
240222000 = 2435340037
BaseRepresentation
bin11100101000101…
…11111100110000
3121202000112122010
432110113330300
5442444101000
635500442520
75644565454
oct1624277460
9552015563
10240222000
11113665387
1268549440
133a9cabc5
1423c92664
1516151d50
hexe517f30

240222000 has 80 divisors (see below), whose sum is σ = 774495072. Its totient is φ = 64057600.

The previous prime is 240221999. The next prime is 240222043. The reversal of 240222000 is 222042.

It is a happy number.

240222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14019 + ... + 26018.

Almost surely, 2240222000 is an apocalyptic number.

240222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240222000 is an abundant number, since it is smaller than the sum of its proper divisors (534273072).

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

240222000 is a wasteful number, since it uses less digits than its factorization.

240222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40063 (or 40047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 240222000 is about 15499.0967478753. The cubic root of 240222000 is about 621.6380548117.

Adding to 240222000 its reverse (222042), we get a palindrome (240444042).

The spelling of 240222000 in words is "two hundred forty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 40037 80074 120111 160148 200185 240222 320296 400370 480444 600555 640592 800740 960888 1000925 1201110 1601480 1921776 2001850 2402220 3002775 3202960 4003700 4804440 5004625 6005550 8007400 9608880 10009250 12011100 15013875 16014800 20018500 24022200 30027750 40037000 48044400 60055500 80074000 120111000 240222000