10229220 has 96 divisors (see below), whose sum is σ = 33532800. Its totient is φ = 2581632.

The previous prime is 10229209. The next prime is 10229231. The reversal of 10229220 is 2292201.

It is an interprime number because it is at equal distance from previous prime (10229209) and next prime (10229231).

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

It is a junction number, because it is equal to n+sod(n) for n = 10229193 and 10229202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9762 + ... + 10758.

It is an arithmetic number, because the mean of its divisors is an integer number (349300).

Almost surely, 2^10229220 is an apocalyptic number.

10229220 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 10229220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766400).

10229220 is an abundant number, since it is smaller than the sum of its proper divisors (23303580).

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

10229220 is a wasteful number, since it uses less digits than its factorization.

10229220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10229220 is about 3198.3151814666. The cubic root of 10229220 is about 217.0771809524.

The spelling of 10229220 in words is "ten million, two hundred twenty-nine thousand, two hundred twenty".