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32220431034 = 23112297612011
BaseRepresentation
bin11110000000011111…
…001100001010111010
310002011111102111010120
4132000133030022322
51011441412243114
622445111354110
72220311100501
oct360037141272
9102144374116
1032220431034
1112734658800
1262b2682936
1330663cb10c
1417b92c3838
15c88a2e5a9
hex7807cc2ba

32220431034 has 96 divisors (see below), whose sum is σ = 73406934720. Its totient is φ = 9410016000.

The previous prime is 32220431029. The next prime is 32220431051. The reversal of 32220431034 is 43013402223.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32220430995 and 32220431013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16021089 + ... + 16023099.

It is an arithmetic number, because the mean of its divisors is an integer number (764655570).

Almost surely, 232220431034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32220431034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36703467360).

32220431034 is an abundant number, since it is smaller than the sum of its proper divisors (41186503686).

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

32220431034 is a wasteful number, since it uses less digits than its factorization.

32220431034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2817 counting only the distinct ones).

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

Adding to 32220431034 its reverse (43013402223), we get a palindrome (75233833257).

The spelling of 32220431034 in words is "thirty-two billion, two hundred twenty million, four hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 761 957 1522 1914 2011 2283 3509 4022 4566 6033 7018 8371 10527 12066 16742 21054 22069 22121 25113 44138 44242 50226 58319 66207 66363 92081 116638 132414 132726 174957 184162 242759 243331 276243 349914 485518 486662 552486 641509 728277 729993 1283018 1456554 1459986 1530371 1924527 2670349 3060742 3849054 4591113 5340698 7056599 8011047 9182226 14113198 16022094 16834081 21169797 33668162 42339594 44380759 50502243 88761518 101004486 133142277 185174891 266284554 370349782 488188349 555524673 976376698 1111049346 1464565047 2929130094 5370071839 10740143678 16110215517 32220431034