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202212021220 = 2251110127133581
BaseRepresentation
bin1011110001010011000…
…1101001001111100100
3201022221111121000011021
42330110301221033210
511303112234134340
6232521145220524
720416000551316
oct2742461511744
9638844530137
10202212021220
1178837461510
1233234491744
13160b769c381
149b03bab7b6
1553d7767e4a
hex2f14c693e4

202212021220 has 96 divisors (see below), whose sum is σ = 469576300032. Its totient is φ = 72532800000.

The previous prime is 202212021217. The next prime is 202212021229. The reversal of 202212021220 is 22120212202.

202212021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202212021194 and 202212021203.

It is not an unprimeable number, because it can be changed into a prime (202212021229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6004830 + ... + 6038410.

It is an arithmetic number, because the mean of its divisors is an integer number (4891419792).

Almost surely, 2202212021220 is an apocalyptic number.

202212021220 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 202212021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234788150016).

202212021220 is an abundant number, since it is smaller than the sum of its proper divisors (267364278812).

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

202212021220 is a wasteful number, since it uses less digits than its factorization.

202212021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202212021220 its reverse (22120212202), we get a palindrome (224332233422).

The spelling of 202212021220 in words is "two hundred two billion, two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 271 404 505 542 1010 1084 1111 1355 2020 2222 2710 2981 4444 5420 5555 5962 11110 11924 14905 22220 27371 29810 33581 54742 59620 67162 109484 134324 136855 167905 273710 301081 335810 369391 547420 602162 671620 738782 1204324 1477564 1505405 1846955 3010810 3391681 3693910 6021620 6783362 7387820 9100451 13566724 16958405 18200902 33916810 36401804 37308491 45502255 67833620 74616982 91004510 100104961 149233964 182009020 186542455 200209922 373084910 400419844 500524805 746169820 919145551 1001049610 1838291102 2002099220 3676582204 4595727755 9191455510 10110601061 18382911020 20221202122 40442404244 50553005305 101106010610 202212021220