Search a number
-
+
2098199040 = 29357311259
BaseRepresentation
bin111110100001111…
…1111101000000000
312102020010112222120
41331003333220000
513244114332130
6544111404240
7102665253240
oct17503775000
95366115876
102098199040
11987418aa3
124a6823680
1327590a1c2
1415c93bb20
15c430d910
hex7d0ffa00

2098199040 has 320 divisors, whose sum is σ = 7919493120. Its totient is φ = 463749120.

The previous prime is 2098199027. The next prime is 2098199053. The reversal of 2098199040 is 409918902.

It is an interprime number because it is at equal distance from previous prime (2098199027) and next prime (2098199053).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×20981990402 = 8804878422913843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2098198983 and 2098199001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665931 + ... + 1667189.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 22098199040 is an apocalyptic number.

2098199040 is a gapful number since it is divisible by the number (20) 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 2098199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2098199040 is an abundant number, since it is smaller than the sum of its proper divisors (5821294080).

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

2098199040 is a wasteful number, since it uses less digits than its factorization.

2098199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 2098199040 is about 45806.1026501928. The cubic root of 2098199040 is about 1280.2129853917.

It can be divided in two parts, 20981 and 99040, that added together give a palindrome (120021).

The spelling of 2098199040 in words is "two billion, ninety-eight million, one hundred ninety-nine thousand, forty".