223261657152 has 112 divisors (see below), whose sum is σ = 640716495552. Its totient is φ = 68334469120.

The previous prime is 223261657061. The next prime is 223261657153. The reversal of 223261657152 is 251756162322.

223261657152 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 3×223261657152³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223261657153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700338 + ... + 967985.

It is an arithmetic number, because the mean of its divisors is an integer number (5720682996).

Almost surely, 2^223261657152 is an apocalyptic number.

It is an amenable number.

223261657152 is an abundant number, since it is smaller than the sum of its proper divisors (417454838400).

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

223261657152 is a wasteful number, since it uses less digits than its factorization.

223261657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668396 (or 1668386 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 223261657152 in words is "two hundred twenty-three billion, two hundred sixty-one million, six hundred fifty-seven thousand, one hundred fifty-two".