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202222002212020 = 22572238971694863
BaseRepresentation
bin101101111110101101111010…
…100110111000110010110100
3222112000020100000210202211101
4231332231322212320302310
5203001201130031241040
61554031301052215444
760411025505430400
oct5576557246706264
9875006300722741
10202222002212020
115948596237192a
121a81bb8b46a584
1388ab5b728a18b
1437d1850750100
15185a3d1e0a09a
hexb7eb7a9b8cb4

202222002212020 has 72 divisors (see below), whose sum is σ = 515477700105984. Its totient is φ = 66318768419904.

The previous prime is 202222002212011. The next prime is 202222002212029. The reversal of 202222002212020 is 20212200222202.

It is an interprime number because it is at equal distance from previous prime (202222002212011) and next prime (202222002212029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202222002212029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485824892 + ... + 4485869971.

It is an arithmetic number, because the mean of its divisors is an integer number (7159412501472).

Almost surely, 2202222002212020 is an apocalyptic number.

202222002212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222002212020 is an abundant number, since it is smaller than the sum of its proper divisors (313255697893964).

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

202222002212020 is a wasteful number, since it uses less digits than its factorization.

202222002212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971694909 (or 8971694900 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 202222002212020 its reverse (20212200222202), we get a palindrome (222434202434222).

The spelling of 202222002212020 in words is "two hundred two trillion, two hundred twenty-two billion, two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 11270 22540 8971694863 17943389726 35886779452 44858474315 62801864041 89716948630 125603728082 179433897260 206348981849 251207456164 314009320205 412697963698 439613048287 628018640410 825395927396 879226096574 1031744909245 1256037280820 1444442872943 1758452193148 2063489818490 2198065241435 2888885745886 4126979636980 4396130482870 5777771491772 7222214364715 8792260965740 10111100110601 14444428729430 20222200221202 28888857458860 40444400442404 50555500553005 101111001106010 202222002212020