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4244220 = 22325171973
BaseRepresentation
bin10000001100001011111100
321222121222100
4100030023330
52041303340
6230545100
751034551
oct20141374
97877870
104244220
112439822
121508190
13b57a96
147c6a28
1558c830
hex40c2fc

4244220 has 144 divisors (see below), whose sum is σ = 14545440. Its totient is φ = 995328.

The previous prime is 4244183. The next prime is 4244221. The reversal of 4244220 is 224424.

4244220 = T133 + T134 + ... + T302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4244193 and 4244202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58104 + ... + 58176.

It is an arithmetic number, because the mean of its divisors is an integer number (101010).

Almost surely, 24244220 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 4244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272720).

4244220 is an abundant number, since it is smaller than the sum of its proper divisors (10301220).

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

4244220 is a wasteful number, since it uses less digits than its factorization.

4244220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4244220 is about 2060.1504799407. The cubic root of 4244220 is about 161.9071255491.

Adding to 4244220 its reverse (224424), we get a palindrome (4468644).

The spelling of 4244220 in words is "four million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 73 76 85 90 95 102 114 146 153 170 171 180 190 204 219 228 255 285 292 306 323 340 342 365 380 438 510 570 612 646 657 684 730 765 855 876 969 1020 1095 1140 1241 1292 1314 1387 1460 1530 1615 1710 1938 2190 2482 2628 2774 2907 3060 3230 3285 3420 3723 3876 4161 4380 4845 4964 5548 5814 6205 6460 6570 6935 7446 8322 9690 11169 11628 12410 12483 13140 13870 14535 14892 16644 18615 19380 20805 22338 23579 24820 24966 27740 29070 37230 41610 44676 47158 49932 55845 58140 62415 70737 74460 83220 94316 111690 117895 124830 141474 212211 223380 235790 249660 282948 353685 424422 471580 707370 848844 1061055 1414740 2122110 4244220