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210022020 = 223251389753
BaseRepresentation
bin11001000010010…
…10111010000100
3112122012020001100
430201022322010
5412231201040
632501300100
75130105045
oct1441127204
9478166040
10210022020
11a860871a
125a404630
1334685bb0
141dc708cc
1513688b30
hexc84ae84

210022020 has 72 divisors (see below), whose sum is σ = 686079576. Its totient is φ = 51697152.

The previous prime is 210021983. The next prime is 210022037. The reversal of 210022020 is 20220012.

It can be written as a sum of positive squares in 4 ways, for example, as 17589636 + 192432384 = 4194^2 + 13872^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210021993 and 210022011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42537 + ... + 47216.

It is an arithmetic number, because the mean of its divisors is an integer number (9528883).

Almost surely, 2210022020 is an apocalyptic number.

210022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022020 is an abundant number, since it is smaller than the sum of its proper divisors (476057556).

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

210022020 is a wasteful number, since it uses less digits than its factorization.

210022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89781 (or 89776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 210022020 is about 14492.1364884547. The cubic root of 210022020 is about 594.4129699726.

Adding to 210022020 its reverse (20220012), we get a palindrome (230242032).

The spelling of 210022020 in words is "two hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 89753 179506 269259 359012 448765 538518 807777 897530 1077036 1166789 1346295 1615554 1795060 2333578 2692590 3231108 3500367 4038885 4667156 5385180 5833945 7000734 8077770 10501101 11667890 14001468 16155540 17501835 21002202 23335780 35003670 42004404 52505505 70007340 105011010 210022020