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34221433020 = 223511322072287
BaseRepresentation
bin11111110111110000…
…011010000010111100
310021022221122220211020
4133313300122002330
51030041141324040
623415432024140
72321016244515
oct376760320274
9107287586736
1034221433020
111357111a155
126770832050
1332c4b36568
141928d5da0c
15d5453dcd0
hex7f7c1a0bc

34221433020 has 96 divisors (see below), whose sum is σ = 96754065408. Its totient is φ = 9036905472.

The previous prime is 34221432991. The next prime is 34221433031. The reversal of 34221433020 is 2033412243.

It is a super-2 number, since 2×342214330202 (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, 14962317 + ... + 14964603.

It is an arithmetic number, because the mean of its divisors is an integer number (1007854848).

Almost surely, 234221433020 is an apocalyptic number.

34221433020 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 34221433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48377032704).

34221433020 is an abundant number, since it is smaller than the sum of its proper divisors (62532632388).

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

34221433020 is a wasteful number, since it uses less digits than its factorization.

34221433020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34221433020 its reverse (2033412243), we get a palindrome (36254845263).

The spelling of 34221433020 in words is "thirty-four billion, two hundred twenty-one million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2207 2260 2287 3390 4414 4574 6621 6780 6861 8828 9148 11035 11435 13242 13722 22070 22870 26484 27444 33105 34305 44140 45740 66210 68610 132420 137220 249391 258431 498782 516862 748173 775293 997564 1033724 1246955 1292155 1496346 1550586 2493910 2584310 2992692 3101172 3740865 3876465 4987820 5047409 5168620 7481730 7752930 10094818 14963460 15142227 15505860 20189636 25237045 30284454 50474090 60568908 75711135 100948180 151422270 302844540 570357217 1140714434 1711071651 2281428868 2851786085 3422143302 5703572170 6844286604 8555358255 11407144340 17110716510 34221433020