10224214002 has 18 divisors (see below), whose sum is σ = 22153393197. Its totient is φ = 3407928336.

The previous prime is 10224213977. The next prime is 10224214009. The reversal of 10224214002 is 20041242201.

It can be written as a sum of positive squares in 2 ways, for example, as 8417879001 + 1806335001 = 91749^2 + 42501^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71499.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10224214009) 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, 417078 + ... + 440910.

Almost surely, 2^10224214002 is an apocalyptic number.

10224214002 is an abundant number, since it is smaller than the sum of its proper divisors (11929179195).

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

10224214002 is an frugal number, since it uses more digits than its factorization.

10224214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47674 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Multiplying 10224214002 by its sum of digits (18), we get a square (184035852036 = 428994²).

10224214002 divided by its sum of digits (18) gives a square (568011889 = 23833²).

Adding to 10224214002 its reverse (20041242201), we get a palindrome (30265456203).

The spelling of 10224214002 in words is "ten billion, two hundred twenty-four million, two hundred fourteen thousand, two".