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2098824930 = 23251721931137
BaseRepresentation
bin111110100011001…
…1000011011100010
312102021022100112200
41331012120123202
513244244344210
6544133034030
7103003501056
oct17506303342
95367270480
102098824930
11987806264
124a6a85916
13275a99057
1415ca61c66
15c43d40c0
hex7d1986e2

2098824930 has 288 divisors, whose sum is σ = 6344732160. Its totient is φ = 479416320.

The previous prime is 2098824919. The next prime is 2098824977. The reversal of 2098824930 is 394288902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15319822 + ... + 15319958.

It is an arithmetic number, because the mean of its divisors is an integer number (22030320).

Almost surely, 22098824930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098824930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172366080).

2098824930 is an abundant number, since it is smaller than the sum of its proper divisors (4245907230).

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

2098824930 is a wasteful number, since it uses less digits than its factorization.

2098824930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2098824930 is about 45812.9340907129. The cubic root of 2098824930 is about 1280.3402680169.

The spelling of 2098824930 in words is "two billion, ninety-eight million, eight hundred twenty-four thousand, nine hundred thirty".