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32122220020 = 22511792417669
BaseRepresentation
bin11101111010101000…
…100010110111110100
310001220122121211221121
4131322220202313310
51011241242020040
622431242353324
72215006236142
oct357250426764
9101818554847
1032122220020
1112694179380
1262857bb844
13304bc629a7
1417aa23a592
15c800cec4a
hex77aa22df4

32122220020 has 96 divisors (see below), whose sum is σ = 74839564800. Its totient is φ = 11483596800.

The previous prime is 32122219949. The next prime is 32122220027. The reversal of 32122220020 is 2002222123.

It is a junction number, because it is equal to n+sod(n) for n = 32122219976 and 32122220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32122220027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4184746 + ... + 4192414.

It is an arithmetic number, because the mean of its divisors is an integer number (779578800).

Almost surely, 232122220020 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 32122220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37419782400).

32122220020 is an abundant number, since it is smaller than the sum of its proper divisors (42717344780).

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

32122220020 is a wasteful number, since it uses less digits than its factorization.

32122220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 32122220020 its reverse (2002222123), we get a palindrome (34124442143).

The spelling of 32122220020 in words is "thirty-two billion, one hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 241 316 395 482 790 869 964 1205 1580 1738 2410 2651 3476 4345 4820 5302 7669 8690 10604 13255 15338 17380 19039 26510 30676 38078 38345 53020 76156 76690 84359 95195 153380 168718 190390 209429 337436 380780 418858 421795 605851 837716 843590 1047145 1211702 1687180 1848229 2094290 2423404 3029255 3696458 4188580 6058510 6664361 7392916 9241145 12117020 13328722 18482290 20330519 26657444 33321805 36964580 40661038 66643610 81322076 101652595 133287220 146010091 203305190 292020182 406610380 584040364 730050455 1460100910 1606111001 2920201820 3212222002 6424444004 8030555005 16061110010 32122220020