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83135342224 = 2411265532
BaseRepresentation
bin100110101101101000…
…0001010011010010000
321221120211210221222001
41031123100022122100
52330230121422344
6102105234523344
76002112515014
oct1153320123220
9257524727861
1083135342224
1132291808100
1214141a36554
137abb8855bc
144049332544
152268898ed4
hex135b40a690

83135342224 has 45 divisors (see below), whose sum is σ = 177076100649. Its totient is φ = 37783025280.

The previous prime is 83135342221. The next prime is 83135342249. The reversal of 83135342224 is 42224353138.

The square root of 83135342224 is 288332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28176979600 + 54958362624 = 167860^2 + 234432^2 .

It is a super-2 number, since 2×831353422242 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83135342221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12683332 + ... + 12689884.

Almost surely, 283135342224 is an apocalyptic number.

83135342224 is the 288332-nd square number.

It is an amenable number.

83135342224 is an abundant number, since it is smaller than the sum of its proper divisors (93940758425).

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

83135342224 is an frugal number, since it uses more digits than its factorization.

83135342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 6566 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The spelling of 83135342224 in words is "eighty-three billion, one hundred thirty-five million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 6553 13106 26212 52424 72083 104848 144166 288332 576664 792913 1153328 1585826 3171652 6343304 12686608 42941809 85883618 171767236 343534472 472359899 687068944 944719798 1889439596 3778879192 5195958889 7557758384 10391917778 20783835556 41567671112 83135342224