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4146228 = 223467191
BaseRepresentation
bin1111110100010000110100
321210122120000
433310100310
52030134403
6224511300
750146062
oct17642064
97718500
104146228
112382139
12147b530
13b222b8
1479d032
1556d7a3
hex3f4434

4146228 has 60 divisors (see below), whose sum is σ = 11058432. Its totient is φ = 1354320.

The previous prime is 4146227. The next prime is 4146253. The reversal of 4146228 is 8226414.

4146228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146221) 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 19 ways as a sum of consecutive naturals, for example, 21613 + ... + 21803.

Almost surely, 24146228 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 4146228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529216).

4146228 is an abundant number, since it is smaller than the sum of its proper divisors (6912204).

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

4146228 is a wasteful number, since it uses less digits than its factorization.

4146228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4146228 is about 2036.2288672937. The cubic root of 4146228 is about 160.6513551712.

The spelling of 4146228 in words is "four million, one hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 191 201 268 324 382 402 573 603 764 804 1146 1206 1719 1809 2292 2412 3438 3618 5157 5427 6876 7236 10314 10854 12797 15471 20628 21708 25594 30942 38391 51188 61884 76782 115173 153564 230346 345519 460692 691038 1036557 1382076 2073114 4146228