Search a number
-
+
220606146 = 23373191293
BaseRepresentation
bin11010010011000…
…10111011000010
3120101002221202000
431021202323002
5422433344041
633520204430
75316056415
oct1511427302
9511087660
10220606146
11103587732
1261a69716
13369205a7
1421427b7c
1514579bb6
hexd262ec2

220606146 has 64 divisors (see below), whose sum is σ = 501258240. Its totient is φ = 71902080.

The previous prime is 220606129. The next prime is 220606187. The reversal of 220606146 is 641606022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 752776 + ... + 753068.

It is an arithmetic number, because the mean of its divisors is an integer number (7832160).

Almost surely, 2220606146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220606146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250629120).

220606146 is an abundant number, since it is smaller than the sum of its proper divisors (280652094).

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

220606146 is a wasteful number, since it uses less digits than its factorization.

220606146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220606146 is about 14852.8160966195. The cubic root of 220606146 is about 604.2349878018.

The spelling of 220606146 in words is "two hundred twenty million, six hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 191 219 293 382 438 573 586 657 879 1146 1314 1719 1758 1971 2637 3438 3942 5157 5274 7911 10314 13943 15822 21389 27886 41829 42778 55963 64167 83658 111926 125487 128334 167889 192501 250974 335778 376461 385002 503667 577503 752922 1007334 1155006 1511001 3022002 4085299 8170598 12255897 24511794 36767691 73535382 110303073 220606146