242266032 has 80 divisors (see below), whose sum is σ = 697500000. Its totient is φ = 80510976.

The previous prime is 242266027. The next prime is 242266039. The reversal of 242266032 is 230662242.

It is a super-2 number, since 2×242266032² = 117385660522050048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242265987 and 242266005.

It is not an unprimeable number, because it can be changed into a prime (242266039) 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, 193344 + ... + 194592.

It is an arithmetic number, because the mean of its divisors is an integer number (8718750).

Almost surely, 2^242266032 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 242266032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348750000).

242266032 is an abundant number, since it is smaller than the sum of its proper divisors (455233968).

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

242266032 is a wasteful number, since it uses less digits than its factorization.

242266032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242266032 is about 15564.8974297937. The cubic root of 242266032 is about 623.3962355299.

The spelling of 242266032 in words is "two hundred forty-two million, two hundred sixty-six thousand, thirty-two".