Search a number
-
+
2230213440 = 26357313521
BaseRepresentation
bin1000010011101110…
…0101101101000000
312202102112120200210
42010323211231000
514031413312230
61005145114120
7106160334000
oct20473455500
95672476623
102230213440
11a44996404
12522a88940
1329707c830
141722a4000
15d0bd8eb0
hex84ee5b40

2230213440 has 448 divisors, whose sum is σ = 8909913600. Its totient is φ = 469647360.

The previous prime is 2230213397. The next prime is 2230213451. The reversal of 2230213440 is 443120322.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 4280380 + ... + 4280900.

It is an arithmetic number, because the mean of its divisors is an integer number (19888200).

Almost surely, 22230213440 is an apocalyptic number.

2230213440 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 2230213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454956800).

2230213440 is an abundant number, since it is smaller than the sum of its proper divisors (6679700160).

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

2230213440 is a wasteful number, since it uses less digits than its factorization.

2230213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2230213440 is about 47225.1356800592. The cubic root of 2230213440 is about 1306.5182371082.

Adding to 2230213440 its reverse (443120322), we get a palindrome (2673333762).

The spelling of 2230213440 in words is "two billion, two hundred thirty million, two hundred thirteen thousand, four hundred forty".