[go: up one dir, main page]

Search a number
-
+
10223220 = 22357101241
BaseRepresentation
bin100110111111…
…111001110100
3201020101121210
4212333321310
510104120340
61003041420
7152616210
oct46777164
921211553
1010223220
115852947
123510270
13216c357
141501940
15d6e180
hex9bfe74

10223220 has 96 divisors (see below), whose sum is σ = 33175296. Its totient is φ = 2304000.

The previous prime is 10223209. The next prime is 10223221. The reversal of 10223220 is 2232201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10223196 and 10223205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223221) 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, 42300 + ... + 42540.

It is an arithmetic number, because the mean of its divisors is an integer number (345576).

Almost surely, 210223220 is an apocalyptic number.

10223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587648).

10223220 is an abundant number, since it is smaller than the sum of its proper divisors (22952076).

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

10223220 is a wasteful number, since it uses less digits than its factorization.

10223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10223220 is about 3197.3770500208. The cubic root of 10223220 is about 217.0347300837.

Adding to 10223220 its reverse (2232201), we get a palindrome (12455421).

The spelling of 10223220 in words is "ten million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 241 303 404 420 482 505 606 707 723 964 1010 1205 1212 1414 1446 1515 1687 2020 2121 2410 2828 2892 3030 3374 3535 3615 4242 4820 5061 6060 6748 7070 7230 8435 8484 10122 10605 14140 14460 16870 20244 21210 24341 25305 33740 42420 48682 50610 73023 97364 101220 121705 146046 170387 243410 292092 340774 365115 486820 511161 681548 730230 851935 1022322 1460460 1703870 2044644 2555805 3407740 5111610 10223220