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10066220 = 2253761223
BaseRepresentation
bin100110011001…
…100100101100
3200221102020222
4212121210230
510034104340
6555430512
7151363403
oct46314454
920842228
1010066220
11575599a
123455438
132115a58
1414a063a
15d3c8b5
hex99992c

10066220 has 48 divisors (see below), whose sum is σ = 22165248. Its totient is φ = 3836160.

The previous prime is 10066213. The next prime is 10066229. The reversal of 10066220 is 2266001.

It is not an unprimeable number, because it can be changed into a prime (10066229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45029 + ... + 45251.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 210066220 is an apocalyptic number.

10066220 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 10066220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082624).

10066220 is an abundant number, since it is smaller than the sum of its proper divisors (12099028).

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

10066220 is a wasteful number, since it uses less digits than its factorization.

10066220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10066220 is about 3172.7306850724. The cubic root of 10066220 is about 215.9179786889.

The spelling of 10066220 in words is "ten million, sixty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 223 244 305 370 446 610 740 892 1115 1220 2230 2257 4460 4514 8251 9028 11285 13603 16502 22570 27206 33004 41255 45140 54412 68015 82510 136030 165020 272060 503311 1006622 2013244 2516555 5033110 10066220