Search a number
-
+
53422525200 = 243521138310567
BaseRepresentation
bin110001110000001110…
…110000101100010000
312002220002220110120110
4301300032300230100
51333402131301300
640313022041320
73600600654222
oct616016605420
9162802813513
1053422525200
1120724693980
12a42b119240
135064b51475
14282b0c2412
1515ca09b550
hexc703b0b10

53422525200 has 240 divisors, whose sum is σ = 187192590336. Its totient is φ = 12915878400.

The previous prime is 53422525183. The next prime is 53422525217. The reversal of 53422525200 is 252522435.

It is an interprime number because it is at equal distance from previous prime (53422525183) and next prime (53422525217).

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 (30).

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, 5050317 + ... + 5060883.

Almost surely, 253422525200 is an apocalyptic number.

53422525200 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 53422525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93596295168).

53422525200 is an abundant number, since it is smaller than the sum of its proper divisors (133770065136).

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

53422525200 is a wasteful number, since it uses less digits than its factorization.

53422525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10982 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 53422525200 in words is "fifty-three billion, four hundred twenty-two million, five hundred twenty-five thousand, two hundred".