223153128 has 192 divisors, whose sum is σ = 696384000. Its totient is φ = 63936000.

The previous prime is 223153127. The next prime is 223153207. The reversal of 223153128 is 821351322.

223153128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223153128³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223153121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1497598 + ... + 1497746.

It is an arithmetic number, because the mean of its divisors is an integer number (3627000).

Almost surely, 2^223153128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223153128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

223153128 is an abundant number, since it is smaller than the sum of its proper divisors (473230872).

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

223153128 is a wasteful number, since it uses less digits than its factorization.

223153128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

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

The square root of 223153128 is about 14938.3107478724. The cubic root of 223153128 is about 606.5514700298.

It can be divided in two parts, 223 and 153128, that added together give a palindrome (153351).

The spelling of 223153128 in words is "two hundred twenty-three million, one hundred fifty-three thousand, one hundred twenty-eight".