Search a number
-
+
2002220040 = 233516685167
BaseRepresentation
bin111011101010111…
…0111010000001000
312011112112022112210
41313111313100020
513100032020130
6530402305120
7100421406132
oct16725672010
95145468483
102002220040
11938223607
1247a6581a0
1325ba739b2
1414dcb6052
15baba05b0
hex77577408

2002220040 has 32 divisors (see below), whose sum is σ = 6006660480. Its totient is φ = 533925312.

The previous prime is 2002220029. The next prime is 2002220041. The reversal of 2002220040 is 400222002.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 2002219998 and 2002220025.

It is not an unprimeable number, because it can be changed into a prime (2002220041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8342464 + ... + 8342703.

It is an arithmetic number, because the mean of its divisors is an integer number (187708140).

Almost surely, 22002220040 is an apocalyptic number.

2002220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002220040 is an abundant number, since it is smaller than the sum of its proper divisors (4004440440).

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

2002220040 is a wasteful number, since it uses less digits than its factorization.

2002220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685181 (or 16685177 counting only the distinct ones).

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

The square root of 2002220040 is about 44746.1734676832. The cubic root of 2002220040 is about 1260.3870566997.

Adding to 2002220040 its reverse (400222002), we get a palindrome (2402442042).

The spelling of 2002220040 in words is "two billion, two million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 16685167 33370334 50055501 66740668 83425835 100111002 133481336 166851670 200222004 250277505 333703340 400444008 500555010 667406680 1001110020 2002220040