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2098003200 = 28352113967
BaseRepresentation
bin111110100001100…
…1111110100000000
312102012202121100020
41331003033310000
513244042100300
6544103253440
7102663506256
oct17503176400
95365677306
102098003200
119872a4947
124a674a280
1327586c017
1415c8ca5d6
15c42c08a0
hex7d0cfd00

2098003200 has 216 divisors, whose sum is σ = 6992344128. Its totient is φ = 553943040.

The previous prime is 2098003177. The next prime is 2098003223. The reversal of 2098003200 is 23008902.

It is an interprime number because it is at equal distance from previous prime (2098003177) and next prime (2098003223).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169117 + ... + 2170083.

Almost surely, 22098003200 is an apocalyptic number.

2098003200 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 2098003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496172064).

2098003200 is an abundant number, since it is smaller than the sum of its proper divisors (4894340928).

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

2098003200 is a wasteful number, since it uses less digits than its factorization.

2098003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2098003200 is about 45803.9648938823. The cubic root of 2098003200 is about 1280.1731536587.

The spelling of 2098003200 in words is "two billion, ninety-eight million, three thousand, two hundred".