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3140222000 = 24538318917
BaseRepresentation
bin1011101100101011…
…1111110000110000
322002211212210202112
42323022333300300
522412344101000
61235333504452
7140550306116
oct27312776060
98084783675
103140222000
1113716342a3
127377a2128
133b076b936
1421b0a7ab6
15135a41235
hexbb2bfc30

3140222000 has 80 divisors (see below), whose sum is σ = 7684945632. Its totient is φ = 1240889600.

The previous prime is 3140221969. The next prime is 3140222003. The reversal of 3140222000 is 2220413.

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

It is not an unprimeable number, because it can be changed into a prime (3140222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156542 + ... + 175458.

Almost surely, 23140222000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842472816).

3140222000 is an abundant number, since it is smaller than the sum of its proper divisors (4544723632).

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

3140222000 is a wasteful number, since it uses less digits than its factorization.

3140222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19023 (or 19007 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3140222000 is about 56037.6837494199. The cubic root of 3140222000 is about 1464.3788597160.

Adding to 3140222000 its reverse (2220413), we get a palindrome (3142442413).

The spelling of 3140222000 in words is "three billion, one hundred forty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 3320 4150 6640 8300 10375 16600 18917 20750 33200 37834 41500 75668 83000 94585 151336 166000 189170 302672 378340 472925 756680 945850 1513360 1570111 1891700 2364625 3140222 3783400 4729250 6280444 7566800 7850555 9458500 12560888 15701110 18917000 25121776 31402220 37834000 39252775 62804440 78505550 125608880 157011100 196263875 314022200 392527750 628044400 785055500 1570111000 3140222000