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202212212020 = 225713397279863
BaseRepresentation
bin1011110001010011001…
…0010111110100110100
3201022221111221200212221
42330110302113310310
511303112311241040
6232521153252124
720416002304510
oct2742462276464
9638844850787
10202212212020
11788375818a5
1233234564044
13160b7738180
149b03c1b140
1553d77a474a
hex2f14c97d34

202212212020 has 96 divisors (see below), whose sum is σ = 523959141888. Its totient is φ = 63835402752.

The previous prime is 202212211997. The next prime is 202212212087. The reversal of 202212212020 is 20212212202.

It is a junction number, because it is equal to n+sod(n) for n = 202212211985 and 202212212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582609 + ... + 862471.

It is an arithmetic number, because the mean of its divisors is an integer number (5457907728).

Almost surely, 2202212212020 is an apocalyptic number.

202212212020 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 202212212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261979570944).

202212212020 is an abundant number, since it is smaller than the sum of its proper divisors (321746929868).

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

202212212020 is a wasteful number, since it uses less digits than its factorization.

202212212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280289 (or 280287 counting only the distinct ones).

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

Adding to 202212212020 its reverse (20212212202), we get a palindrome (222424424222).

The spelling of 202212212020 in words is "two hundred two billion, two hundred twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 397 455 794 910 1588 1820 1985 2779 3970 5161 5558 7940 10322 11116 13895 20644 25805 27790 36127 51610 55580 72254 103220 144508 180635 279863 361270 559726 722540 1119452 1399315 1959041 2798630 3638219 3918082 5597260 7276438 7836164 9795205 14552876 18191095 19590410 25467533 36382190 39180820 50935066 72764380 101870132 111105611 127337665 222211222 254675330 444422444 509350660 555528055 777739277 1111056110 1444372943 1555478554 2222112220 2888745886 3110957108 3888696385 5777491772 7221864715 7777392770 10110610601 14443729430 15554785540 20221221202 28887458860 40442442404 50553053005 101106106010 202212212020