Search a number
-
+
20722604400 = 243252231072339
BaseRepresentation
bin10011010011001010…
…011101100101110000
31222111012020101010200
4103103022131211300
5314414441320100
613304141155200
71332345142161
oct232312354560
958435211120
1020722604400
118874408443
124023b5bb00
131c532cc9c4
141008265768
15814405e00
hex4d329d970

20722604400 has 360 divisors, whose sum is σ = 75773543040. Its totient is φ = 5234127360.

The previous prime is 20722604369. The next prime is 20722604411. The reversal of 20722604400 is 440622702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8858431 + ... + 8860769.

It is an arithmetic number, because the mean of its divisors is an integer number (210482064).

Almost surely, 220722604400 is an apocalyptic number.

20722604400 is a gapful number since it is divisible by the number (20) 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 20722604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37886771520).

20722604400 is an abundant number, since it is smaller than the sum of its proper divisors (55050938640).

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

20722604400 is a wasteful number, since it uses less digits than its factorization.

20722604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20722604400 in words is "twenty billion, seven hundred twenty-two million, six hundred four thousand, four hundred".