Search a number
-
+
50022000 = 2432537397
BaseRepresentation
bin1011111011010…
…0011001110000
310111010101021200
42332310121300
5100301201000
64544051200
71145115510
oct276643160
9114111250
1050022000
11262662a6
1214903b00
13a495422
146901840
1545d1500
hex2fb4670

50022000 has 240 divisors, whose sum is σ = 200171712. Its totient is φ = 11404800.

The previous prime is 50021989. The next prime is 50022001. The reversal of 50022000 is 22005.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50022001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125802 + ... + 126198.

Almost surely, 250022000 is an apocalyptic number.

50022000 is a gapful number since it is divisible by the number (50) 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 50022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100085856).

50022000 is an abundant number, since it is smaller than the sum of its proper divisors (150149712).

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

50022000 is a wasteful number, since it uses less digits than its factorization.

50022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 50022000 is about 7072.6232757019. The cubic root of 50022000 is about 368.4571744032.

Adding to 50022000 its reverse (22005), we get a palindrome (50044005).

It can be divided in two parts, 500 and 22000, that added together give a square (22500 = 1502).

The spelling of 50022000 in words is "fifty million, twenty-two thousand".