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20212230020 = 22519314141849
BaseRepresentation
bin10010110100101111…
…100010011110000100
31221011121212200002212
4102310233202132010
5312343312330040
613141350122552
71313610056213
oct226457423604
957147780085
1020212230020
118632305634
123b01050458
131ba1654828
14d9a56d07a
157d46ddd65
hex4b4be2784

20212230020 has 96 divisors (see below), whose sum is σ = 47246976000. Its totient is φ = 7231334400.

The previous prime is 20212229957. The next prime is 20212230067. The reversal of 20212230020 is 2003221202.

It is a junction number, because it is equal to n+sod(n) for n = 20212229977 and 20212230004.

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 31 ways as a sum of consecutive naturals, for example, 462056 + ... + 503904.

It is an arithmetic number, because the mean of its divisors is an integer number (492156000).

Almost surely, 220212230020 is an apocalyptic number.

20212230020 is a gapful number since it is divisible by the number (20) 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 20212230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488000).

20212230020 is an abundant number, since it is smaller than the sum of its proper divisors (27034745980).

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

20212230020 is a wasteful number, since it uses less digits than its factorization.

20212230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41949 (or 41947 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20212230020 its reverse (2003221202), we get a palindrome (22215451222).

The spelling of 20212230020 in words is "twenty billion, two hundred twelve million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 41 62 76 82 95 124 155 164 190 205 310 380 410 589 620 779 820 1178 1271 1558 2356 2542 2945 3116 3895 5084 5890 6355 7790 11780 12710 15580 24149 25420 41849 48298 83698 96596 120745 167396 209245 241490 418490 482980 795131 836980 1297319 1590262 1715809 2594638 3180524 3431618 3975655 5189276 6486595 6863236 7951310 8579045 12973190 15902620 17158090 24649061 25946380 32600371 34316180 49298122 53190079 65200742 98596244 106380158 123245305 130401484 163001855 212760316 246490610 265950395 326003710 492981220 531900790 652007420 1010611501 1063801580 2021223002 4042446004 5053057505 10106115010 20212230020