Search a number
-
+
2002033140 = 223587738047
BaseRepresentation
bin111011101010100…
…1001100111110100
312011112011211011120
41313111021213310
513100010030030
6530354303540
7100420000212
oct16725114764
95145154146
102002033140
11938106148
1247a587bb0
1325ba098c3
1414dc67cb2
15bab65010
hex775499f4

2002033140 has 48 divisors (see below), whose sum is σ = 5612232192. Its totient is φ = 533252736.

The previous prime is 2002033133. The next prime is 2002033147. The reversal of 2002033140 is 413302002.

It is an interprime number because it is at equal distance from previous prime (2002033133) and next prime (2002033147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002033147) 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, 33597 + ... + 71643.

It is an arithmetic number, because the mean of its divisors is an integer number (116921504).

Almost surely, 22002033140 is an apocalyptic number.

2002033140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002033140 is an abundant number, since it is smaller than the sum of its proper divisors (3610199052).

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

2002033140 is a wasteful number, since it uses less digits than its factorization.

2002033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38936 (or 38934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2002033140 is about 44744.0849722061. The cubic root of 2002033140 is about 1260.3478379548.

Adding to 2002033140 its reverse (413302002), we get a palindrome (2415335142).

The spelling of 2002033140 in words is "two billion, two million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 877 1754 2631 3508 4385 5262 8770 10524 13155 17540 26310 38047 52620 76094 114141 152188 190235 228282 380470 456564 570705 760940 1141410 2282820 33367219 66734438 100101657 133468876 166836095 200203314 333672190 400406628 500508285 667344380 1001016570 2002033140