Search a number
-
+
52228385280 = 293452347233
BaseRepresentation
bin110000101001000011…
…011110101000000000
311222210212220212120000
4300221003132220000
51323430431312110
635554323320000
73526160643561
oct605103365000
9158725825500
1052228385280
112017161a985
12a157220000
134c0462c3b6
14275667a168
15155a31c1c0
hexc290dea00

52228385280 has 800 divisors, whose sum is σ = 200207614464. Its totient is φ = 12982616064.

The previous prime is 52228385267. The next prime is 52228385311. The reversal of 52228385280 is 8258382225.

52228385280 is a `hidden beast` number, since 522 + 28 + 3 + 85 + 28 + 0 = 666.

It is a super-2 number, since 2×522283852802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224156044 + ... + 224156276.

Almost surely, 252228385280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52228385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100103807232).

52228385280 is an abundant number, since it is smaller than the sum of its proper divisors (147979229184).

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

52228385280 is a wasteful number, since it uses less digits than its factorization.

52228385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 52228385280 in words is "fifty-two billion, two hundred twenty-eight million, three hundred eighty-five thousand, two hundred eighty".