229193664 has 112 divisors (see below), whose sum is σ = 715524096. Its totient is φ = 63360000.

The previous prime is 229193659. The next prime is 229193669. The reversal of 229193664 is 466391922.

229193664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229193659) and next prime (229193669).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229193669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38914 + ... + 44414.

It is an arithmetic number, because the mean of its divisors is an integer number (6388608).

Almost surely, 2^229193664 is an apocalyptic number.

229193664 is a gapful number since it is divisible by the number (24) 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 229193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357762048).

229193664 is an abundant number, since it is smaller than the sum of its proper divisors (486330432).

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

229193664 is a wasteful number, since it uses less digits than its factorization.

229193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5544 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 229193664 is about 15139.1434367999. The cubic root of 229193664 is about 611.9757348660.

The spelling of 229193664 in words is "two hundred twenty-nine million, one hundred ninety-three thousand, six hundred sixty-four".