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10222812 = 2232594813
BaseRepresentation
bin100110111111…
…110011011100
3201020101001200
4212333303130
510104112222
61003035500
7152615055
oct46776334
921211050
1010222812
115852606
12350bb90
13216c102
14150172c
15d6deac
hex9bfcdc

10222812 has 36 divisors (see below), whose sum is σ = 26284440. Its totient is φ = 3349152.

The previous prime is 10222801. The next prime is 10222813. The reversal of 10222812 is 21822201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283 + ... + 4530.

Almost surely, 210222812 is an apocalyptic number.

10222812 is a gapful number since it is divisible by the number (12) 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 10222812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142220).

10222812 is an abundant number, since it is smaller than the sum of its proper divisors (16061628).

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

10222812 is a wasteful number, since it uses less digits than its factorization.

10222812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10222812 is about 3197.3132470873. The cubic root of 10222812 is about 217.0318428216.

The spelling of 10222812 in words is "ten million, two hundred twenty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 4813 9626 14439 19252 28878 43317 57756 86634 173268 283967 567934 851901 1135868 1703802 2555703 3407604 5111406 10222812