Search a number
-
+
10222780 = 22517107281
BaseRepresentation
bin100110111111…
…110010111100
3201020101000111
4212333302330
510104112110
61003035404
7152615011
oct46776274
921211014
1010222780
115852587
12350bb64
13216c0a9
141501708
15d6de8a
hex9bfcbc

10222780 has 48 divisors (see below), whose sum is σ = 23024736. Its totient is φ = 3799040.

The previous prime is 10222769. The next prime is 10222781. The reversal of 10222780 is 8722201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36240 + ... + 36520.

It is an arithmetic number, because the mean of its divisors is an integer number (479682).

Almost surely, 210222780 is an apocalyptic number.

10222780 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 10222780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512368).

10222780 is an abundant number, since it is smaller than the sum of its proper divisors (12801956).

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

10222780 is a wasteful number, since it uses less digits than its factorization.

10222780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10222780 is about 3197.3082428818. The cubic root of 10222780 is about 217.0316163664.

Adding to 10222780 its reverse (8722201), we get a palindrome (18944981).

The spelling of 10222780 in words is "ten million, two hundred twenty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 281 340 428 535 562 1070 1124 1405 1819 2140 2810 3638 4777 5620 7276 9095 9554 18190 19108 23885 30067 36380 47770 60134 95540 120268 150335 300670 511139 601340 1022278 2044556 2555695 5111390 10222780