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4430420220 = 2235472815591
BaseRepresentation
bin1000010000001001…
…01101100011111100
3102102202121122222210
410020010231203330
533033141421340
62011343140420
7214534644012
oct41004554374
912382548883
104430420220
111973947316
12a378a4710
13557b54335
143005968b2
151ade47180
hex10812d8fc

4430420220 has 96 divisors (see below), whose sum is σ = 12716476416. Its totient is φ = 1151987200.

The previous prime is 4430420143. The next prime is 4430420227. The reversal of 4430420220 is 220240344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430420227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789625 + ... + 795215.

It is an arithmetic number, because the mean of its divisors is an integer number (132463296).

Almost surely, 24430420220 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 4430420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358238208).

4430420220 is an abundant number, since it is smaller than the sum of its proper divisors (8286056196).

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

4430420220 is a wasteful number, since it uses less digits than its factorization.

4430420220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4430420220 is about 66561.4018782658. The cubic root of 4430420220 is about 1642.4102251644.

Adding to 4430420220 its reverse (220240344), we get a palindrome (4650660564).

The spelling of 4430420220 in words is "four billion, four hundred thirty million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 281 282 470 562 564 705 843 940 1124 1405 1410 1686 2810 2820 3372 4215 5591 5620 8430 11182 13207 16773 16860 22364 26414 27955 33546 39621 52828 55910 66035 67092 79242 83865 111820 132070 158484 167730 198105 262777 264140 335460 396210 525554 788331 792420 1051108 1313885 1571071 1576662 2627770 3142142 3153324 3941655 4713213 5255540 6284284 7855355 7883310 9426426 15710710 15766620 18852852 23566065 31421420 47132130 73840337 94264260 147680674 221521011 295361348 369201685 443042022 738403370 886084044 1107605055 1476806740 2215210110 4430420220