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4222101352 = 237232359397
BaseRepresentation
bin1111101110101000…
…0010011101101000
3101220020121222020011
43323222002131220
532121324220402
61534542141304
7206425161250
oct37352023550
911806558204
104222101352
1118772a2267
12999b81834
13523946731
142c0a4a960
1519a9e7ed7
hexfba82768

4222101352 has 96 divisors (see below), whose sum is σ = 9508060800. Its totient is φ = 1721630592.

The previous prime is 4222101343. The next prime is 4222101379. The reversal of 4222101352 is 2531012224.

It is a happy number.

It is a super-2 number, since 2×42221013522 = 35652279653120455808, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10634818 + ... + 10635214.

It is an arithmetic number, because the mean of its divisors is an integer number (99042300).

Almost surely, 24222101352 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 4222101352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754030400).

4222101352 is an abundant number, since it is smaller than the sum of its proper divisors (5285959448).

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

4222101352 is a wasteful number, since it uses less digits than its factorization.

4222101352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4222101352 is about 64977.6988820010. The cubic root of 4222101352 is about 1616.2537720683.

Adding to 4222101352 its reverse (2531012224), we get a palindrome (6753113576).

The spelling of 4222101352 in words is "four billion, two hundred twenty-two million, one hundred one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 359 397 529 644 718 794 1058 1288 1436 1588 2116 2513 2779 2872 3176 3703 4232 5026 5558 7406 8257 9131 10052 11116 14812 16514 18262 20104 22232 29624 33028 36524 57799 63917 66056 73048 115598 127834 142523 189911 210013 231196 255668 285046 379822 420026 462392 511336 570092 759644 840052 997661 1140184 1329377 1470091 1519288 1680104 1995322 2658754 2940182 3278029 3990644 5317508 5880364 6556058 7981288 10635016 11760728 13112116 22946203 26224232 45892406 75394667 91784812 150789334 183569624 301578668 527762669 603157336 1055525338 2111050676 4222101352