224970001 has 9 divisors (see below), whose sum is σ = 230107899. Its totient is φ = 219945336.

The previous prime is 224969999. The next prime is 224970047. The reversal of 224970001 is 100079422.

The square root of 224970001 is 14999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162180225 + 62789776 = 12735^2 + 7924^2 .

It is not a de Polignac number, because 224970001 - 2¹ = 224969999 is a prime.

It is a super-2 number, since 2×224970001² = 101223002699880002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224970091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 794806 + ... + 795088.

Almost surely, 2^224970001 is an apocalyptic number.

224970001 is the 14999-th square number.

224970001 is the 7500-th centered octagonal number.

It is an amenable number.

224970001 is a deficient number, since it is larger than the sum of its proper divisors (5137898).

224970001 is an frugal number, since it uses more digits than its factorization.

224970001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 224970001 is about 608.1931672481.

Multiplying 224970001 by its sum of digits (25), we get a square (5624250025 = 74995²).

It can be divided in two parts, 224 and 970001, that added together give a square (970225 = 985²).

The spelling of 224970001 in words is "two hundred twenty-four million, nine hundred seventy thousand, one".