35000224 has 96 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 14100480.

The previous prime is 35000221. The next prime is 35000233. The reversal of 35000224 is 42200053.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 35000198 and 35000207.

It is not an unprimeable number, because it can be changed into a prime (35000221) 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, 339757 + ... + 339859.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^35000224 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 35000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

35000224 is an abundant number, since it is smaller than the sum of its proper divisors (48655712).

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

35000224 is a wasteful number, since it uses less digits than its factorization.

35000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 35000224 is about 5916.0987145246. The cubic root of 35000224 is about 327.1073288448.

Adding to 35000224 its reverse (42200053), we get a palindrome (77200277).

It can be divided in two parts, 350002 and 24, that multiplied together give a palindrome (8400048).

The spelling of 35000224 in words is "thirty-five million, two hundred twenty-four", and thus it is an aban number.