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442424220 = 223573173323
BaseRepresentation
bin11010010111101…
…101101110011100
31010211111110221020
4122113231232130
51401230033340
6111522404140
713651354350
oct3227555634
91124443836
10442424220
11207811957
12104200650
13708766a4
1442a89460
1528c939d0
hex1a5edb9c

442424220 has 96 divisors (see below), whose sum is σ = 1420651008. Its totient is φ = 100776192.

The previous prime is 442424197. The next prime is 442424221. The reversal of 442424220 is 22424244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442424221) 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, 131479 + ... + 134801.

It is an arithmetic number, because the mean of its divisors is an integer number (14798448).

Almost surely, 2442424220 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 442424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710325504).

442424220 is an abundant number, since it is smaller than the sum of its proper divisors (978226788).

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

442424220 is a wasteful number, since it uses less digits than its factorization.

442424220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442424220 is about 21033.8826658323. The cubic root of 442424220 is about 761.9847821101.

Adding to 442424220 its sum of digits (24), we get a palindrome (442424244).

Adding to 442424220 its reverse (22424244), we get a palindrome (464848464).

The spelling of 442424220 in words is "four hundred forty-two million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 317 420 634 951 1268 1585 1902 2219 3170 3323 3804 4438 4755 6340 6646 6657 8876 9510 9969 11095 13292 13314 16615 19020 19938 22190 23261 26628 33230 33285 39876 44380 46522 49845 66460 66570 69783 93044 99690 116305 133140 139566 199380 232610 279132 348915 465220 697830 1053391 1395660 2106782 3160173 4213564 5266955 6320346 7373737 10533910 12640692 14747474 15800865 21067820 22121211 29494948 31601730 36868685 44242422 63203460 73737370 88484844 110606055 147474740 221212110 442424220