202121952 has 48 divisors (see below), whose sum is σ = 533368080. Its totient is φ = 67018752.

The previous prime is 202121951. The next prime is 202121963. The reversal of 202121952 is 259121202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13074 + ... + 23982.

It is an arithmetic number, because the mean of its divisors is an integer number (11111835).

Almost surely, 2^202121952 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 202121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266684040).

202121952 is an abundant number, since it is smaller than the sum of its proper divisors (331246128).

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

202121952 is a wasteful number, since it uses less digits than its factorization.

202121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 202121952 is about 14216.9600126047. The cubic root of 202121952 is about 586.8644844842.

The spelling of 202121952 in words is "two hundred two million, one hundred twenty-one thousand, nine hundred fifty-two".