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222202021120020 = 223259768712636847
BaseRepresentation
bin110010100001011101110000…
…100010011000100000010100
31002010202022020220022122010200
4302201131300202120200110
5213111024214401320040
62104330111014220500
764542365140125624
oct6241356042304024
91063668226278120
10222202021120020
1164889391144797
1220b082a7354730
1396ca739a86646
143cc28c7008884
151aa4eb7a0c630
hexca1770898814

222202021120020 has 72 divisors (see below), whose sum is σ = 674019750453504. Its totient is φ = 59253261041088.

The previous prime is 222202021120003. The next prime is 222202021120021. The reversal of 222202021120020 is 20021120202222.

222202021120020 is a `hidden beast` number, since 22 + 220 + 202 + 1 + 1 + 200 + 20 = 666.

It is a super-3 number, since 3×2222020211200203 (a number of 44 digits) contains 333 as substring.

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 = 222202021119975 and 222202021120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202021120021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11265237 + ... + 23902083.

Almost surely, 2222202021120020 is an apocalyptic number.

222202021120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222202021120020 is an abundant number, since it is smaller than the sum of its proper divisors (451817729333484).

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

222202021120020 is a wasteful number, since it uses less digits than its factorization.

222202021120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12734549 (or 12734544 counting only the distinct ones).

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

Adding to 222202021120020 its reverse (20021120202222), we get a palindrome (242223141322242).

The spelling of 222202021120020 in words is "two hundred twenty-two trillion, two hundred two billion, twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 97687 195374 293061 390748 488435 586122 879183 976870 1172244 1465305 1758366 1953740 2930610 3516732 4395915 5861220 8791830 12636847 17583660 25273694 37910541 50547388 63184235 75821082 113731623 126368470 151642164 189552705 227463246 252736940 379105410 454926492 568658115 758210820 1137316230 2274632460 1234455672889 2468911345778 3703367018667 4937822691556 6172278364445 7406734037334 11110101056001 12344556728890 14813468074668 18516835093335 22220202112002 24689113457780 37033670186670 44440404224004 55550505280005 74067340373340 111101010560010 222202021120020