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424302228 = 223271998461
BaseRepresentation
bin11001010010100…
…101011010010100
31002120101210020100
4121102211122110
51332110132403
6110034134100
713341336510
oct3122453224
91076353210
10424302228
111a85645a9
12ba121330
1369ba000c
14404cd140
15273b42a3
hex194a5694

424302228 has 72 divisors (see below), whose sum is σ = 1232067200. Its totient is φ = 120605760.

The previous prime is 424302227. The next prime is 424302251. The reversal of 424302228 is 822203424.

424302228 is a `hidden beast` number, since 4 + 2 + 430 + 2 + 228 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424302227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45918 + ... + 54378.

Almost surely, 2424302228 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 424302228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616033600).

424302228 is an abundant number, since it is smaller than the sum of its proper divisors (807764972).

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

424302228 is a wasteful number, since it uses less digits than its factorization.

424302228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424302228 is about 20598.5977192623. The cubic root of 424302228 is about 751.4356076210.

The spelling of 424302228 in words is "four hundred twenty-four million, three hundred two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 8461 12537 16716 16922 25074 25383 33844 50148 50766 59227 76149 101532 118454 152298 177681 236908 304596 355362 533043 710724 1066086 1683739 2132172 3367478 5051217 6734956 10102434 11786173 15153651 20204868 23572346 30307302 35358519 47144692 60614604 70717038 106075557 141434076 212151114 424302228