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10202220 = 2233572699
BaseRepresentation
bin100110111010…
…110001101100
3201012022211000
4212322301230
510102432340
61002400300
7152501040
oct46726154
921168730
1010202220
115839096
123500090
132162922
1414d8020
15d67d30
hex9bac6c

10202220 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2331072.

The previous prime is 10202219. The next prime is 10202237. The reversal of 10202220 is 2220201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2431 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 210202220 is an apocalyptic number.

10202220 is a gapful number since it is divisible by the number (10) 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 10202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

10202220 is an abundant number, since it is smaller than the sum of its proper divisors (26085780).

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

10202220 is a wasteful number, since it uses less digits than its factorization.

10202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

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

The square root of 10202220 is about 3194.0914201068. The cubic root of 10202220 is about 216.8860211105.

Adding to 10202220 its reverse (2220201), we get a palindrome (12422421).

It can be divided in two parts, 1020 and 2220, that added together give a triangular number (3240 = T80).

The spelling of 10202220 in words is "ten million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 2699 3780 5398 8097 10796 13495 16194 18893 24291 26990 32388 37786 40485 48582 53980 56679 72873 75572 80970 94465 97164 113358 121455 145746 161940 170037 188930 226716 242910 283395 291492 340074 364365 377860 485820 510111 566790 680148 728730 850185 1020222 1133580 1457460 1700370 2040444 2550555 3400740 5101110 10202220