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10222440 = 2335175011
BaseRepresentation
bin100110111111…
…101101101000
3201020100112220
4212333231220
510104104230
61003034040
7152614014
oct46775550
921210486
1010222440
1158522a8
12350b920
13216bba7
141501544
15d6dd10
hex9bfb68

10222440 has 64 divisors (see below), whose sum is σ = 32477760. Its totient is φ = 2565120.

The previous prime is 10222439. The next prime is 10222447. The reversal of 10222440 is 4422201.

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

It is not an unprimeable number, because it can be changed into a prime (10222447) 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, 466 + ... + 4545.

It is an arithmetic number, because the mean of its divisors is an integer number (507465).

Almost surely, 210222440 is an apocalyptic number.

10222440 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 10222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238880).

10222440 is an abundant number, since it is smaller than the sum of its proper divisors (22255320).

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

10222440 is a wasteful number, since it uses less digits than its factorization.

10222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5038 counting only the distinct ones).

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

The square root of 10222440 is about 3197.2550727147. The cubic root of 10222440 is about 217.0292102509.

Adding to 10222440 its reverse (4422201), we get a palindrome (14644641).

The spelling of 10222440 in words is "ten million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 5011 10022 15033 20044 25055 30066 40088 50110 60132 75165 85187 100220 120264 150330 170374 200440 255561 300660 340748 425935 511122 601320 681496 851870 1022244 1277805 1703740 2044488 2555610 3407480 5111220 10222440