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222210202120020 = 2232571157110747387
BaseRepresentation
bin110010100001100101011000…
…001010011010111101010100
31002010210002101001022111100200
4302201211120022122331110
5213111142443220320040
62104333542501340500
764543104646360602
oct6241453012327524
91063702331274320
10222210202120020
11648918aa0a8114
1220b099ab107730
1396cb44196084a
143cc306174a872
151aa52e5d5c630
hexca195829af54

222210202120020 has 144 divisors (see below), whose sum is σ = 687884808094848. Its totient is φ = 58049349845760.

The previous prime is 222210202119959. The next prime is 222210202120073. The reversal of 222210202120020 is 20021202012222.

222210202120020 is a `hidden beast` number, since 22 + 221 + 0 + 202 + 1 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222210202119975 and 222210202120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53367234 + ... + 57380153.

It is an arithmetic number, because the mean of its divisors is an integer number (4776977833992).

Almost surely, 2222210202120020 is an apocalyptic number.

222210202120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222210202120020 is an abundant number, since it is smaller than the sum of its proper divisors (465674605974828).

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

222210202120020 is a wasteful number, since it uses less digits than its factorization.

222210202120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110747630 (or 110747625 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222210202120020 its reverse (20021202012222), we get a palindrome (242231404132242).

The spelling of 222210202120020 in words is "two hundred twenty-two trillion, two hundred ten billion, two hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 157 180 213 284 314 355 426 471 628 639 710 785 852 942 1065 1278 1413 1420 1570 1884 2130 2355 2556 2826 3140 3195 4260 4710 5652 6390 7065 9420 11147 12780 14130 22294 28260 33441 44588 55735 66882 100323 111470 133764 167205 200646 222940 334410 401292 501615 668820 1003230 2006460 110747387 221494774 332242161 442989548 553736935 664484322 996726483 1107473870 1328968644 1661210805 1993452966 2214947740 3322421610 3986905932 4983632415 6644843220 7863064477 9967264830 15726128954 17387339759 19934529660 23589193431 31452257908 34774679518 39315322385 47178386862 52162019277 69549359036 70767580293 78630644770 86936698795 94356773724 104324038554 117945967155 141535160586 156486057831 157261289540 173873397590 208648077108 235891934310 260810096385 283070321172 312972115662 347746795180 353837901465 471783868620 521620192770 625944231324 707675802930 782430289155 1043240385540 1234501122889 1415351605860 1564860578310 2469002245778 3129721156620 3703503368667 4938004491556 6172505614445 7407006737334 11110510106001 12345011228890 14814013474668 18517516843335 22221020212002 24690022457780 37035033686670 44442040424004 55552550530005 74070067373340 111105101060010 222210202120020