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2202214144 = 28131973359
BaseRepresentation
bin1000001101000011…
…0001111100000000
312200110212001212211
42003100301330000
514002231323034
61002305031504
7105400340254
oct20320617400
95613761784
102202214144
11a30102099
12515625594
132913283c0
1416c696264
15cd507d64
hex83431f00

2202214144 has 72 divisors (see below), whose sum is σ = 4759413120. Its totient is φ = 1010946048.

The previous prime is 2202214129. The next prime is 2202214159. The reversal of 2202214144 is 4414122022.

It is an interprime number because it is at equal distance from previous prime (2202214129) and next prime (2202214159).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653937 + ... + 657295.

It is an arithmetic number, because the mean of its divisors is an integer number (66102960).

Almost surely, 22202214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379706560).

2202214144 is an abundant number, since it is smaller than the sum of its proper divisors (2557198976).

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

2202214144 is a wasteful number, since it uses less digits than its factorization.

2202214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2202214144 is about 46927.7545169167. The cubic root of 2202214144 is about 1301.0276182481.

Adding to 2202214144 its reverse (4414122022), we get a palindrome (6616336166).

The spelling of 2202214144 in words is "two billion, two hundred two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 197 208 256 394 416 788 832 1576 1664 2561 3152 3328 3359 5122 6304 6718 10244 12608 13436 20488 25216 26872 40976 43667 50432 53744 81952 87334 107488 163904 174668 214976 327808 349336 429952 655616 661723 698672 859904 1323446 1397344 2646892 2794688 5293784 5589376 8602399 10587568 11178752 17204798 21175136 34409596 42350272 68819192 84700544 137638384 169401088 275276768 550553536 1101107072 2202214144