Search a number
-
+
2202300000 = 2532552447
BaseRepresentation
bin1000001101000100…
…0110111001100000
312200111000102122200
42003101012321200
514002242100000
61002310533200
7105401145465
oct20321067140
95614012580
102202300000
11a3016064a
12515667200
132913584c4
1416c6b966c
15cd523500
hex83446e60

2202300000 has 216 divisors, whose sum is σ = 7831186272. Its totient is φ = 587040000.

The previous prime is 2202299999. The next prime is 2202300007. The reversal of 2202300000 is 32022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202300007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 898777 + ... + 901223.

It is an arithmetic number, because the mean of its divisors is an integer number (36255492).

Almost surely, 22202300000 is an apocalyptic number.

2202300000 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 2202300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915593136).

2202300000 is an abundant number, since it is smaller than the sum of its proper divisors (5628886272).

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

2202300000 is an equidigital number, since it uses as much as digits as its factorization.

2202300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2202300000 is about 46928.6692758275. The cubic root of 2202300000 is about 1301.0445254103.

Adding to 2202300000 its reverse (32022), we get a palindrome (2202332022).

The spelling of 2202300000 in words is "two billion, two hundred two million, three hundred thousand".