Search a number
-
+
99294221520 = 243351317792633
BaseRepresentation
bin101110001111001100…
…1011001010011010000
3100111021222121002012000
41130132121121103100
53111323310042040
6113340511434000
710113413646204
oct1343631312320
9314258532160
1099294221520
1139123aaa2aa
12172b1525900
139495529140
144b3d420b04
1528b22c5130
hex171e6594d0

99294221520 has 640 divisors, whose sum is σ = 395074713600. Its totient is φ = 22704095232.

The previous prime is 99294221519. The next prime is 99294221563. The reversal of 99294221520 is 2512249299.

It is a happy number.

99294221520 is a `hidden beast` number, since 99 + 294 + 221 + 52 + 0 = 666.

It is a super-2 number, since 2×992942215202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37710124 + ... + 37712756.

It is an arithmetic number, because the mean of its divisors is an integer number (617304240).

Almost surely, 299294221520 is an apocalyptic number.

99294221520 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 99294221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197537356800).

99294221520 is an abundant number, since it is smaller than the sum of its proper divisors (295780492080).

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

99294221520 is a wasteful number, since it uses less digits than its factorization.

99294221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 99294221520 in words is "ninety-nine billion, two hundred ninety-four million, two hundred twenty-one thousand, five hundred twenty".