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462228 = 223132963
BaseRepresentation
bin1110000110110010100
3212111001120
41300312110
5104242403
613523540
73633414
oct1606624
9774046
10462228
11296308
121a35b0
13132510
14c0644
1591e53
hex70d94

462228 has 24 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 142176.

The previous prime is 462221. The next prime is 462239. The reversal of 462228 is 822264.

It is a junction number, because it is equal to n+sod(n) for n = 462198 and 462207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462221) by changing a digit.

462228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1326 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2462228 is an apocalyptic number.

It is an amenable number.

462228 is an abundant number, since it is smaller than the sum of its proper divisors (699660).

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

462228 is a wasteful number, since it uses less digits than its factorization.

462228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2981 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 462228 is about 679.8735176487. The cubic root of 462228 is about 77.3188554612.

The spelling of 462228 in words is "four hundred sixty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2963 5926 8889 11852 17778 35556 38519 77038 115557 154076 231114 462228