1602224100 has 108 divisors (see below), whose sum is σ = 5037459700. Its totient is φ = 425952000.

The previous prime is 1602224089. The next prime is 1602224101. The reversal of 1602224100 is 14222061.

1602224100 is a `hidden beast` number, since 1 + 602 + 22 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 246364416 + 1355859684 = 15696^2 + 36822^2 .

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 (1602224101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311550 + ... + 316650.

Almost surely, 2^1602224100 is an apocalyptic number.

1602224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1602224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518729850).

1602224100 is an abundant number, since it is smaller than the sum of its proper divisors (3435235600).

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

1602224100 is a wasteful number, since it uses less digits than its factorization.

1602224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1602224100 is about 40027.7915953404. The cubic root of 1602224100 is about 1170.1487866886.

Adding to 1602224100 its reverse (14222061), we get a palindrome (1616446161).

The spelling of 1602224100 in words is "one billion, six hundred two million, two hundred twenty-four thousand, one hundred".