506222136 has 240 divisors, whose sum is σ = 1675971000. Its totient is φ = 142321536.

The previous prime is 506222113. The next prime is 506222153. The reversal of 506222136 is 631222605.

506222136 is a `hidden beast` number, since 5 + 0 + 622 + 2 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3397390 + ... + 3397538.

Almost surely, 2^506222136 is an apocalyptic number.

506222136 is a gapful number since it is divisible by the number (56) 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 506222136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837985500).

506222136 is an abundant number, since it is smaller than the sum of its proper divisors (1169748864).

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

506222136 is a wasteful number, since it uses less digits than its factorization.

506222136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506222136 is about 22499.3807914796. The cubic root of 506222136 is about 796.9793044368.

The spelling of 506222136 in words is "five hundred six million, two hundred twenty-two thousand, one hundred thirty-six".