Search a number
-
+
9161401200 = 2435271935651
BaseRepresentation
bin10001000100000111…
…11110001101110000
3212122110210101211120
420202003332031300
5122230304314300
64113024342240
7443012424330
oct104203761560
925573711746
109161401200
113981410356
121938174980
13b30041773
1462ca2b0c0
1538945e3a0
hex2220fe370

9161401200 has 240 divisors, whose sum is σ = 33719198976. Its totient is φ = 2082816000.

The previous prime is 9161401199. The next prime is 9161401217. The reversal of 9161401200 is 21041619.

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

It is a super-2 number, since 2×91614012002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1618375 + ... + 1624025.

Almost surely, 29161401200 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 9161401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859599488).

9161401200 is an abundant number, since it is smaller than the sum of its proper divisors (24557797776).

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

9161401200 is a wasteful number, since it uses less digits than its factorization.

9161401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 9161401200 is about 95715.2088228407. The cubic root of 9161401200 is about 2092.4445957105. Note that the first 3 decimals are identical.

Adding to 9161401200 its reverse (21041619), we get a palindrome (9182442819).

The spelling of 9161401200 in words is "nine billion, one hundred sixty-one million, four hundred one thousand, two hundred".