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2241900000 = 2532554753
BaseRepresentation
bin1000010110100000…
…1010110111100000
312210020112022122100
42011220022313200
514042411300000
61010243410400
7106361556414
oct20550126740
95706468570
102241900000
11a5054871a
12526983a00
13299611c62
14173a66d44
15d1c46a00
hex85a0ade0

2241900000 has 432 divisors, whose sum is σ = 8291844288. Its totient is φ = 574080000.

The previous prime is 2241899983. The next prime is 2241900043. The reversal of 2241900000 is 91422.

It is a super-2 number, since 2×22419000002 = 10052231220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42299974 + ... + 42300026.

It is an arithmetic number, because the mean of its divisors is an integer number (19194084).

Almost surely, 22241900000 is an apocalyptic number.

2241900000 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 2241900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145922144).

2241900000 is an abundant number, since it is smaller than the sum of its proper divisors (6049944288).

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

2241900000 is an equidigital number, since it uses as much as digits as its factorization.

2241900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2241900000 is about 47348.7064237240. The cubic root of 2241900000 is about 1308.7963615512.

Adding to 2241900000 its reverse (91422), we get a palindrome (2241991422).

The spelling of 2241900000 in words is "two billion, two hundred forty-one million, nine hundred thousand".