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2230116000 = 253537139191
BaseRepresentation
bin1000010011101100…
…1101111010100000
312202102100122000220
42010323031322200
514031402203000
61005143043040
7106156446630
oct20473157240
95672318026
102230116000
11a4492a182
12522a40480
13297047388
1417227a6c0
15d0bba1a0
hex84ecdea0

2230116000 has 384 divisors, whose sum is σ = 8453652480. Its totient is φ = 503424000.

The previous prime is 2230115999. The next prime is 2230116011. The reversal of 2230116000 is 6110322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11675905 + ... + 11676095.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 22230116000 is an apocalyptic number.

2230116000 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 2230116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226826240).

2230116000 is an abundant number, since it is smaller than the sum of its proper divisors (6223536480).

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

2230116000 is a wasteful number, since it uses less digits than its factorization.

2230116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2230116000 is about 47224.1040147931. The cubic root of 2230116000 is about 1306.4992091848.

Adding to 2230116000 its reverse (6110322), we get a palindrome (2236226322).

The spelling of 2230116000 in words is "two billion, two hundred thirty million, one hundred sixteen thousand".