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424100220 = 2235231911609
BaseRepresentation
bin11001010001110…
…100000101111100
31002120000112010120
4121101310011330
51332032201340
6110025534540
713336535535
oct3121640574
91076015116
10424100220
111a8436855
12ba044450
1369b2c09b
144047968c
15273744d0
hex1947417c

424100220 has 96 divisors (see below), whose sum is σ = 1246371840. Its totient is φ = 107543040.

The previous prime is 424100153. The next prime is 424100227. The reversal of 424100220 is 22001424.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 424100220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424100227) 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, 262776 + ... + 264384.

It is an arithmetic number, because the mean of its divisors is an integer number (12983040).

Almost surely, 2424100220 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 424100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623185920).

424100220 is an abundant number, since it is smaller than the sum of its proper divisors (822271620).

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

424100220 is a wasteful number, since it uses less digits than its factorization.

424100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 424100220 is about 20593.6936949154. The cubic root of 424100220 is about 751.3163372124.

Adding to 424100220 its reverse (22001424), we get a palindrome (446101644).

The spelling of 424100220 in words is "four hundred twenty-four million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 191 230 276 345 382 460 573 690 764 955 1146 1380 1609 1910 2292 2865 3218 3820 4393 4827 5730 6436 8045 8786 9654 11460 13179 16090 17572 19308 21965 24135 26358 32180 37007 43930 48270 52716 65895 74014 87860 96540 111021 131790 148028 185035 222042 263580 307319 370070 444084 555105 614638 740140 921957 1110210 1229276 1536595 1843914 2220420 3073190 3687828 4609785 6146380 7068337 9219570 14136674 18439140 21205011 28273348 35341685 42410022 70683370 84820044 106025055 141366740 212050110 424100220