Search a number
-
+
9097220160 = 263857619
BaseRepresentation
bin10000111100011110…
…01001000001000000
3212111000000200000000
420132033021001000
5122112342021120
64102413000000
7441303044520
oct103617110100
925430020000
109097220160
113949164176
12191a783000
13b1c95c712
146242c1680
153839d2990
hex21e3c9040

9097220160 has 504 divisors, whose sum is σ = 37194256320. Its totient is φ = 2076005376.

The previous prime is 9097220117. The next prime is 9097220257. The reversal of 9097220160 is 610227909.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14696331 + ... + 14696949.

Almost surely, 29097220160 is an apocalyptic number.

9097220160 is a gapful number since it is divisible by the number (90) 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 9097220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597128160).

9097220160 is an abundant number, since it is smaller than the sum of its proper divisors (28097036160).

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

9097220160 is an frugal number, since it uses more digits than its factorization.

9097220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9097220160 is about 95379.3487081978. The cubic root of 9097220160 is about 2087.5468695657.

The spelling of 9097220160 in words is "nine billion, ninety-seven million, two hundred twenty thousand, one hundred sixty".