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20022210 = 232513109157
BaseRepresentation
bin100110001100…
…0001111000010
31101200020022100
41030120033002
520111202320
61553051230
7332120535
oct114301702
941606270
1020022210
1110335a8a
126856b16
1341c0580
142932a1c
151b57790
hex13183c2

20022210 has 96 divisors (see below), whose sum is σ = 56936880. Its totient is φ = 4852224.

The previous prime is 20022203. The next prime is 20022229. The reversal of 20022210 is 1222002.

It can be written as a sum of positive squares in 8 ways, for example, as 4835601 + 15186609 = 2199^2 + 3897^2 .

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 = 20022192 and 20022201.

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, 127452 + ... + 127608.

Almost surely, 220022210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468440).

20022210 is an abundant number, since it is smaller than the sum of its proper divisors (36914670).

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

20022210 is a wasteful number, since it uses less digits than its factorization.

20022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

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

The square root of 20022210 is about 4474.6184194856. The cubic root of 20022210 is about 271.5422031807.

Adding to 20022210 its reverse (1222002), we get a palindrome (21244212).

The spelling of 20022210 in words is "twenty million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 157 195 218 234 314 327 390 471 545 585 654 785 942 981 1090 1170 1413 1417 1570 1635 1962 2041 2355 2826 2834 3270 4082 4251 4710 4905 6123 7065 7085 8502 9810 10205 12246 12753 14130 14170 17113 18369 20410 21255 25506 30615 34226 36738 42510 51339 61230 63765 85565 91845 102678 127530 154017 171130 183690 222469 256695 308034 444938 513390 667407 770085 1112345 1334814 1540170 2002221 2224690 3337035 4004442 6674070 10011105 20022210