Search a number
-
+
20422575360 = 283551147127
BaseRepresentation
bin10011000001010001…
…111100010100000000
31221201021200022200000
4103001101330110000
5313311134402420
613214302400000
71322043012015
oct230121742400
957637608600
1020422575360
118730014160
123b5b590000
131c060c1925
14dba48570c
157e7ddd690
hex4c147c500

20422575360 has 864 divisors, whose sum is σ = 82282217472. Its totient is φ = 4807434240.

The previous prime is 20422575331. The next prime is 20422575361. The reversal of 20422575360 is 6357522402.

20422575360 is a `hidden beast` number, since 2 + 0 + 4 + 22 + 575 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422575361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160807617 + ... + 160807743.

It is an arithmetic number, because the mean of its divisors is an integer number (95234048).

Almost surely, 220422575360 is an apocalyptic number.

20422575360 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 20422575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41141108736).

20422575360 is an abundant number, since it is smaller than the sum of its proper divisors (61859642112).

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

20422575360 is a wasteful number, since it uses less digits than its factorization.

20422575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 20422575360 in words is "twenty billion, four hundred twenty-two million, five hundred seventy-five thousand, three hundred sixty".