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34220015060 = 225711190111689
BaseRepresentation
bin11111110111101010…
…111111110111010100
310021022211222212202012
4133313222333313110
51030040310440220
623415341403352
72321001220520
oct376752776724
9107284885665
1034220015060
1113570340890
126770269558
1332c475b02a
141928ab0d80
15d5435dac5
hex7f7abfdd4

34220015060 has 96 divisors (see below), whose sum is σ = 89649020160. Its totient is φ = 10659456000.

The previous prime is 34220015057. The next prime is 34220015087. The reversal of 34220015060 is 6051002243.

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, 2921696 + ... + 2933384.

It is an arithmetic number, because the mean of its divisors is an integer number (933843960).

Almost surely, 234220015060 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 34220015060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44824510080).

34220015060 is an abundant number, since it is smaller than the sum of its proper divisors (55429005100).

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

34220015060 is a wasteful number, since it uses less digits than its factorization.

34220015060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617 (or 13615 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 34220015060 in words is "thirty-four billion, two hundred twenty million, fifteen thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1901 3802 7604 9505 11689 13307 19010 20911 23378 26614 38020 41822 46756 53228 58445 66535 81823 83644 104555 116890 128579 133070 146377 163646 209110 233780 257158 266140 292754 327292 409115 418220 514316 585508 642895 731885 818230 900053 1285790 1463770 1636460 1800106 2571580 2927540 3600212 4500265 9000530 18001060 22220789 44441578 88883156 111103945 155545523 222207890 244428679 311091046 444415780 488857358 622182092 777727615 977714716 1222143395 1555455230 1711000753 2444286790 3110910460 3422001506 4888573580 6844003012 8555003765 17110007530 34220015060