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3166220 = 2252953103
BaseRepresentation
bin1100000101000000001100
312221212020102
430011000030
51302304340
6151510232
735624651
oct14050014
95855212
103166220
111872912
121088378
1386b205
145c5c28
15428215
hex30500c

3166220 has 48 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 1188096.

The previous prime is 3166213. The next prime is 3166223. The reversal of 3166220 is 226613.

3166220 = T301 + T302 + ... + T358.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3166192 and 3166201.

It is not an unprimeable number, because it can be changed into a prime (3166223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30689 + ... + 30791.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 23166220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3166220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

3166220 is an abundant number, since it is smaller than the sum of its proper divisors (3909940).

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

3166220 is a wasteful number, since it uses less digits than its factorization.

3166220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3166220 is about 1779.3875350805. The cubic root of 3166220 is about 146.8408971676.

The spelling of 3166220 in words is "three million, one hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 103 106 116 145 206 212 265 290 412 515 530 580 1030 1060 1537 2060 2987 3074 5459 5974 6148 7685 10918 11948 14935 15370 21836 27295 29870 30740 54590 59740 109180 158311 316622 633244 791555 1583110 3166220