Search a number
-
+
2200455400 = 23521113471637
BaseRepresentation
bin1000001100101000…
…0100100011101000
312200100112201100011
42003022010203220
514001304033100
61002203221304
7105346363603
oct20312044350
95610481304
102200455400
11a2a110790
12514b17834
13290b60a20
1416c35933a
15cd2abbba
hex832848e8

2200455400 has 192 divisors, whose sum is σ = 6142106880. Its totient is φ = 722457600.

The previous prime is 2200455391. The next prime is 2200455427. The reversal of 2200455400 is 45540022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343382 + ... + 1345018.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 22200455400 is an apocalyptic number.

2200455400 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 2200455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

2200455400 is an abundant number, since it is smaller than the sum of its proper divisors (3941651480).

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

2200455400 is a wasteful number, since it uses less digits than its factorization.

2200455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2200455400 is about 46909.0119273472. The cubic root of 2200455400 is about 1300.6811814698.

Adding to 2200455400 its reverse (45540022), we get a palindrome (2245995422).

The spelling of 2200455400 in words is "two billion, two hundred million, four hundred fifty-five thousand, four hundred".