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2300214222 = 2322343157823
BaseRepresentation
bin1000100100011010…
…0111101111001110
312221022020222201100
42021012213233032
514202323323342
61020125323530
7111000332625
oct21106475716
95838228640
102300214222
11a80457a99
125424065a6
132a871b807
1417b6c66bc
15d6e14e4c
hex891a7bce

2300214222 has 96 divisors (see below), whose sum is σ = 5361827328. Its totient is φ = 710918208.

The previous prime is 2300214173. The next prime is 2300214227. The reversal of 2300214222 is 2224120032.

2300214222 is a `hidden beast` number, since 230 + 0 + 214 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2300214195 and 2300214204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300214227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794503 + ... + 2795325.

It is an arithmetic number, because the mean of its divisors is an integer number (55852368).

Almost surely, 22300214222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300214222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680913664).

2300214222 is an abundant number, since it is smaller than the sum of its proper divisors (3061613106).

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

2300214222 is a wasteful number, since it uses less digits than its factorization.

2300214222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2300214222 is about 47960.5485998649. The cubic root of 2300214222 is about 1320.0471023137.

Adding to 2300214222 its reverse (2224120032), we get a palindrome (4524334254).

The spelling of 2300214222 in words is "two billion, three hundred million, two hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 157 207 258 314 387 414 471 774 823 942 989 1413 1646 1978 2469 2826 2967 3611 4938 5934 6751 7222 7407 8901 10833 13502 14814 17802 18929 20253 21666 32499 35389 37858 40506 56787 60759 64998 70778 106167 113574 121518 129211 155273 170361 212334 258422 310546 318501 340722 387633 465819 637002 775266 813947 931638 1162899 1397457 1627894 2325798 2441841 2794914 2971853 4883682 5556073 5943706 7325523 8915559 11112146 14651046 16668219 17831118 26746677 33336438 50004657 53493354 100009314 127789679 255579358 383369037 766738074 1150107111 2300214222