Search a number
-
+
402220000000 = 2857713217
BaseRepresentation
bin1011101101001100010…
…11100010001100000000
31102110012101220001111001
411312212023202030000
523042221310000000
6504435522301344
741026246406140
oct5664613421400
91373171801431
10402220000000
11145642782245
1265b527b7854
132bc10553100
1415678d68920
15a6e176646a
hex5da62e2300

402220000000 has 864 divisors, whose sum is σ = 1315023196032. Its totient is φ = 119808000000.

The previous prime is 402219999991. The next prime is 402220000009. The reversal of 402220000000 is 22204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402219999991) and next prime (402220000009).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (402220000009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23659999992 + ... + 23660000008.

It is an arithmetic number, because the mean of its divisors is an integer number (1522017588).

Almost surely, 2402220000000 is an apocalyptic number.

402220000000 is a gapful number since it is divisible by the number (40) 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 402220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657511598016).

402220000000 is an abundant number, since it is smaller than the sum of its proper divisors (912803196032).

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

402220000000 is an frugal number, since it uses more digits than its factorization.

402220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 402220000000 its reverse (22204), we get a palindrome (402220022204).

The spelling of 402220000000 in words is "four hundred two billion, two hundred twenty million", and thus it is an aban number.