642226200 has 192 divisors, whose sum is σ = 2482341120. Its totient is φ = 133440000.

The previous prime is 642226181. The next prime is 642226219. The reversal of 642226200 is 2622246.

It is an interprime number because it is at equal distance from previous prime (642226181) and next prime (642226219).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39250 + ... + 53150.

It is an arithmetic number, because the mean of its divisors is an integer number (12928860).

Almost surely, 2^642226200 is an apocalyptic number.

642226200 is a gapful number since it is divisible by the number (60) 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 642226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241170560).

642226200 is an abundant number, since it is smaller than the sum of its proper divisors (1840114920).

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

642226200 is a wasteful number, since it uses less digits than its factorization.

642226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 642226200 is about 25342.1822264777. The cubic root of 642226200 is about 862.7719285402.

Adding to 642226200 its reverse (2622246), we get a palindrome (644848446).

The spelling of 642226200 in words is "six hundred forty-two million, two hundred twenty-six thousand, two hundred".