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33014142224 = 2472322075807
BaseRepresentation
bin11110101111110010…
…111101010100010000
310011012210221012012022
4132233302331110100
51020103110022344
623055543351012
72246056402340
oct365762752420
9104183835168
1033014142224
1113001693768
126494452468
13316198b6cb
141852892d20
15cd35630ee
hex7afcbd510

33014142224 has 80 divisors (see below), whose sum is σ = 76328828928. Its totient is φ = 13525286016.

The previous prime is 33014142223. The next prime is 33014142253. The reversal of 33014142224 is 42224141033.

It is a junction number, because it is equal to n+sod(n) for n = 33014142193 and 33014142202.

It is not an unprimeable number, because it can be changed into a prime (33014142223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5682329 + ... + 5688135.

Almost surely, 233014142224 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 33014142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38164414464).

33014142224 is an abundant number, since it is smaller than the sum of its proper divisors (43314686704).

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

33014142224 is a wasteful number, since it uses less digits than its factorization.

33014142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 33014142224 its reverse (42224141033), we get a palindrome (75238283257).

The spelling of 33014142224 in words is "thirty-three billion, fourteen million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2207 2576 4414 5807 8828 11614 15449 17656 23228 30898 35312 40649 46456 50761 61796 81298 92912 101522 123592 133561 162596 203044 247184 267122 325192 355327 406088 534244 650384 710654 812176 934927 1068488 1421308 1869854 2136976 2842616 3739708 5685232 7479416 12816049 14958832 25632098 51264196 89712343 102528392 179424686 205056784 294769127 358849372 589538254 717698744 1179076508 1435397488 2063383889 2358153016 4126767778 4716306032 8253535556 16507071112 33014142224