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20102220 = 22325293851
BaseRepresentation
bin100110010101…
…1110001001100
31101211022001200
41030223301030
520121232340
61554505500
7332603025
oct114536114
941738050
1020102220
1110390106
126895290
13421ab08
142953c4c
151b71330
hex132bc4c

20102220 has 72 divisors (see below), whose sum is σ = 63095760. Its totient is φ = 5174400.

The previous prime is 20102219. The next prime is 20102227. The reversal of 20102220 is 2220102.

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

It is not an unprimeable number, because it can be changed into a prime (20102227) 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, 3295 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (876330).

Almost surely, 220102220 is an apocalyptic number.

20102220 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 20102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31547880).

20102220 is an abundant number, since it is smaller than the sum of its proper divisors (42993540).

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

20102220 is a wasteful number, since it uses less digits than its factorization.

20102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3890 counting only the distinct ones).

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

The square root of 20102220 is about 4483.5499328099. The cubic root of 20102220 is about 271.9034223159.

Adding to 20102220 its reverse (2220102), we get a palindrome (22322322).

The spelling of 20102220 in words is "twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3851 5220 7702 11553 15404 19255 23106 34659 38510 46212 57765 69318 77020 111679 115530 138636 173295 223358 231060 335037 346590 446716 558395 670074 693180 1005111 1116790 1340148 1675185 2010222 2233580 3350370 4020444 5025555 6700740 10051110 20102220