227882833920 has 1344 divisors, whose sum is σ = 966780360000. Its totient is φ = 51502252032.

The previous prime is 227882833903. The next prime is 227882833939. The reversal of 227882833920 is 29338288722.

It is a happy number.

227882833920 is a `hidden beast` number, since 2 + 278 + 8 + 283 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2560481236 + ... + 2560481324.

It is an arithmetic number, because the mean of its divisors is an integer number (719330625).

Almost surely, 2^227882833920 is an apocalyptic number.

227882833920 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 227882833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483390180000).

227882833920 is an abundant number, since it is smaller than the sum of its proper divisors (738897526080).

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

227882833920 is an frugal number, since it uses more digits than its factorization.

227882833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 227882833920 in words is "two hundred twenty-seven billion, eight hundred eighty-two million, eight hundred thirty-three thousand, nine hundred twenty".