229154400 has 216 divisors, whose sum is σ = 836899560. Its totient is φ = 60514560.

The previous prime is 229154389. The next prime is 229154411. The reversal of 229154400 is 4451922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (229154389) and next prime (229154411).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2224749 + ... + 2224851.

It is an arithmetic number, because the mean of its divisors is an integer number (3874535).

Almost surely, 2^229154400 is an apocalyptic number.

229154400 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 229154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418449780).

229154400 is an abundant number, since it is smaller than the sum of its proper divisors (607745160).

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

229154400 is a wasteful number, since it uses less digits than its factorization.

229154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 229154400 is about 15137.8466104000. The cubic root of 229154400 is about 611.9407862741.

The spelling of 229154400 in words is "two hundred twenty-nine million, one hundred fifty-four thousand, four hundred".