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202212222201020 = 225177137922101967
BaseRepresentation
bin101101111110100100110011…
…101011000110110010111100
3222111222022002102222201212202
4231332210303223012302330
5203001021112340413040
61554023002404451032
760410231241624653
oct5576446353066274
9874868072881782
10202212222201020
11594817a3852909
121a81a1000a9a78
1388aa6b9035415
1437d11a38d419a
15185a00d504015
hexb7e933ac6cbc

202212222201020 has 96 divisors (see below), whose sum is σ = 457160642426880. Its totient is φ = 74856706606080.

The previous prime is 202212222200981. The next prime is 202212222201023. The reversal of 202212222201020 is 20102222212202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202212222200983 and 202212222201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212222201023) 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, 1901924 + ... + 20200043.

It is an arithmetic number, because the mean of its divisors is an integer number (4762090025280).

Almost surely, 2202212222201020 is an apocalyptic number.

202212222201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212222201020 is an abundant number, since it is smaller than the sum of its proper divisors (254948420225860).

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

202212222201020 is a wasteful number, since it uses less digits than its factorization.

202212222201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22102443 (or 22102441 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202212222201020 its reverse (20102222212202), we get a palindrome (222314444413222).

The spelling of 202212222201020 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 379 710 758 1207 1420 1516 1895 2414 3790 4828 6035 6443 7580 12070 12886 24140 25772 26909 32215 53818 64430 107636 128860 134545 269090 457453 538180 914906 1829812 2287265 4574530 9149060 22101967 44203934 88407868 110509835 221019670 375733439 442039340 751466878 1502933756 1569239657 1878667195 3138479314 3757334390 6276958628 7514668780 7846198285 8376645493 15692396570 16753290986 26677074169 31384793140 33506581972 41883227465 53354148338 83766454930 106708296676 133385370845 142402973381 167532909860 266770741690 284805946762 533541483380 569611893524 594741830003 712014866905 1189483660006 1424029733810 2378967320012 2848059467620 2973709150015 5947418300030 10110611110051 11894836600060 20221222220102 40442444440204 50553055550255 101106111100510 202212222201020