201523248 has 60 divisors (see below), whose sum is σ = 579294520. Its totient is φ = 67076064.

The previous prime is 201523247. The next prime is 201523249. The reversal of 201523248 is 842325102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (201523247) and next prime (201523249).

It is a super-2 number, since 2×201523248² = 81223238968939008, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (201523243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294715 + ... + 295397.

Almost surely, 2^201523248 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 201523248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289647260).

201523248 is an abundant number, since it is smaller than the sum of its proper divisors (377771272).

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

201523248 is an frugal number, since it uses more digits than its factorization.

201523248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 201523248 is about 14195.8884188345. Note that the first 3 decimals coincide. The cubic root of 201523248 is about 586.2844623716.

Multiplying 201523248 by its sum of digits (27), we get a square (5441127696 = 73764²).

201523248 divided by its sum of digits (27) gives a square (7463824 = 2732²).

The spelling of 201523248 in words is "two hundred one million, five hundred twenty-three thousand, two hundred forty-eight".