Search a number
-
+
2210304300 = 2235217433393
BaseRepresentation
bin1000001110111110…
…1001000100101100
312201001002002111020
42003233221010230
514011314214200
61003154254140
7105526163601
oct20357510454
95631062436
102210304300
11a34728376
12518287350
13292bcb889
1416d7a06a8
15ce0a4ea0
hex83be912c

2210304300 has 72 divisors (see below), whose sum is σ = 6771347856. Its totient is φ = 554741760.

The previous prime is 2210304263. The next prime is 2210304307. The reversal of 2210304300 is 34030122.

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 2210304300.

It is not an unprimeable number, because it can be changed into a prime (2210304307) 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, 211597 + ... + 221796.

It is an arithmetic number, because the mean of its divisors is an integer number (94046498).

Almost surely, 22210304300 is an apocalyptic number.

2210304300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210304300 is an abundant number, since it is smaller than the sum of its proper divisors (4561043556).

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

2210304300 is a wasteful number, since it uses less digits than its factorization.

2210304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433427 (or 433420 counting only the distinct ones).

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

The square root of 2210304300 is about 47013.8734843238. The cubic root of 2210304300 is about 1302.6188430999.

Adding to 2210304300 its reverse (34030122), we get a palindrome (2244334422).

The spelling of 2210304300 in words is "two billion, two hundred ten million, three hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 433393 866786 1300179 1733572 2166965 2600358 4333930 5200716 6500895 7367681 8667860 10834825 13001790 14735362 21669650 22103043 26003580 29470724 32504475 36838405 43339300 44206086 65008950 73676810 88412172 110515215 130017900 147353620 184192025 221030430 368384050 442060860 552576075 736768100 1105152150 2210304300