Search a number
-
+
34531112220 = 22351182163727
BaseRepresentation
bin100000001010001101…
…101111010100011100
310022010112101020211020
4200022031233110130
51031204431042340
623510253324140
72331466416363
oct401215572434
9108115336736
1034531112220
111370aa04780
126838496650
133344042ba7
1419581327da
15d718109d0
hex80a36f51c

34531112220 has 96 divisors (see below), whose sum is σ = 105606982656. Its totient is φ = 8360851200.

The previous prime is 34531112197. The next prime is 34531112233. The reversal of 34531112220 is 2221113543.

It is a super-2 number, since 2×345311122202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509997 + ... + 573723.

It is an arithmetic number, because the mean of its divisors is an integer number (1100072736).

Almost surely, 234531112220 is an apocalyptic number.

34531112220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52803491328).

34531112220 is an abundant number, since it is smaller than the sum of its proper divisors (71075870436).

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

34531112220 is a wasteful number, since it uses less digits than its factorization.

34531112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64571 (or 64569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 34531112220 its reverse (2221113543), we get a palindrome (36752225763).

The spelling of 34531112220 in words is "thirty-four billion, five hundred thirty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 821 1642 2463 3284 4105 4926 8210 9031 9852 12315 16420 18062 24630 27093 36124 45155 49260 54186 63727 90310 108372 127454 135465 180620 191181 254908 270930 318635 382362 541860 637270 700997 764724 955905 1274540 1401994 1911810 2102991 2803988 3504985 3823620 4205982 7009970 8411964 10514955 14019940 21029910 42059820 52319867 104639734 156959601 209279468 261599335 313919202 523198670 575518537 627838404 784798005 1046397340 1151037074 1569596010 1726555611 2302074148 2877592685 3139192020 3453111222 5755185370 6906222444 8632778055 11510370740 17265556110 34531112220