Search a number
-
+
2402002220 = 225417340127
BaseRepresentation
bin1000111100101011…
…1010010100101100
320012101210100121012
42033022322110230
514404403032340
61034203124352
7113344452632
oct21712722454
96171710535
102402002220
11102295a902
125705136b8
132c383a0b7
1418b021352
15e0d1e565
hex8f2ba52c

2402002220 has 48 divisors (see below), whose sum is σ = 5238148608. Its totient is φ = 924503040.

The previous prime is 2402002219. The next prime is 2402002259. The reversal of 2402002220 is 222002042.

2402002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24020022202 = 11539229329769856800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2402002195 and 2402002204.

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, 39797 + ... + 79923.

It is an arithmetic number, because the mean of its divisors is an integer number (109128096).

Almost surely, 22402002220 is an apocalyptic number.

2402002220 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 2402002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619074304).

2402002220 is an abundant number, since it is smaller than the sum of its proper divisors (2836146388).

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

2402002220 is a wasteful number, since it uses less digits than its factorization.

2402002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40250 (or 40248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2402002220 is about 49010.2256677114. The cubic root of 2402002220 is about 1339.2381166868.

Adding to 2402002220 its reverse (222002042), we get a palindrome (2624004262).

The spelling of 2402002220 in words is "two billion, four hundred two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 29930 40127 59860 80254 160508 200635 401270 802540 1645207 2929271 3290414 5858542 6580828 8226035 11717084 14646355 16452070 29292710 32904140 58585420 120100111 240200222 480400444 600500555 1201001110 2402002220