227920 has 80 divisors (see below), whose sum is σ = 678528. Its totient is φ = 69120.

The previous prime is 227893. The next prime is 227947. The reversal of 227920 is 29722.

227920 = T₁ + T₂ + ... + T₁₁₀.

227920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

227920 is a nontrivial binomial coefficient, being equal to C(112, 3).

It is an interprime number because it is at equal distance from previous prime (227893) and next prime (227947).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 227891 and 227900.

It is a congruent number.

It is an unprimeable number.

227920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 110-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6142 + ... + 6178.

2²²⁷⁹²⁰ is an apocalyptic number.

227920 is a gapful number since it is divisible by the number (20) 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 227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

227920 is an abundant number, since it is smaller than the sum of its proper divisors (450608).

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

227920 is a wasteful number, since it uses less digits than its factorization.

227920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 227920 is about 477.4096773213. The cubic root of 227920 is about 61.0840014436.

The spelling of 227920 in words is "two hundred twenty-seven thousand, nine hundred twenty".