Search a number
-
+
99022210560 = 2933572132173
BaseRepresentation
bin101110000111000101…
…1110000011000000000
3100110121000202111022000
41130032023300120000
53110244141214220
6113253513344000
710103601621300
oct1341613603000
9313530674260
1099022210560
1138aa4502459
1217236408000
13945107ac00
144b15255600
152898494390
hex170e2f0600

99022210560 has 1440 divisors, whose sum is σ = 445617326880. Its totient is φ = 20771831808.

The previous prime is 99022210541. The next prime is 99022210561. The reversal of 99022210560 is 6501222099.

It is a happy number.

99022210560 is a `hidden beast` number, since 9 + 90 + 2 + 2 + 2 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (99022210561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 572382634 + ... + 572382806.

It is an arithmetic number, because the mean of its divisors is an integer number (309456477).

Almost surely, 299022210560 is an apocalyptic number.

99022210560 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 99022210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808663440).

99022210560 is an abundant number, since it is smaller than the sum of its proper divisors (346595116320).

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

99022210560 is a wasteful number, since it uses less digits than its factorization.

99022210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 99022210560 in words is "ninety-nine billion, twenty-two million, two hundred ten thousand, five hundred sixty".