Search a number
-
+
2230213200 = 2435211316447
BaseRepresentation
bin1000010011101110…
…0101101001010000
312202102112120100220
42010323211221100
514031413310300
61005145113040
7106160333205
oct20473455120
95672476326
102230213200
11a44996206
12522a88780
1329707c6a7
141722a3cac
15d0bd8da0
hex84ee5a50

2230213200 has 120 divisors (see below), whose sum is σ = 7207776768. Its totient is φ = 589424640.

The previous prime is 2230213159. The next prime is 2230213201. The reversal of 2230213200 is 23120322.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2230213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230213201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127377 + ... + 143823.

Almost surely, 22230213200 is an apocalyptic number.

2230213200 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 2230213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603888384).

2230213200 is an abundant number, since it is smaller than the sum of its proper divisors (4977563568).

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

2230213200 is a wasteful number, since it uses less digits than its factorization.

2230213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2230213200 is about 47225.1331390394. The cubic root of 2230213200 is about 1306.5181902421.

Adding to 2230213200 its reverse (23120322), we get a palindrome (2253333522).

The spelling of 2230213200 in words is "two billion, two hundred thirty million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 904 1130 1200 1356 1695 1808 2260 2712 2825 3390 4520 5424 5650 6780 8475 9040 11300 13560 16447 16950 22600 27120 32894 33900 45200 49341 65788 67800 82235 98682 131576 135600 164470 197364 246705 263152 328940 394728 411175 493410 657880 789456 822350 986820 1233525 1315760 1644700 1858511 1973640 2467050 3289400 3717022 3947280 4934100 5575533 6578800 7434044 9292555 9868200 11151066 14868088 18585110 19736400 22302132 27877665 29736176 37170220 44604264 46462775 55755330 74340440 89208528 92925550 111510660 139388325 148680880 185851100 223021320 278776650 371702200 446042640 557553300 743404400 1115106600 2230213200