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2117399800 = 235219953201
BaseRepresentation
bin111111000110100…
…1111010011111000
312110120021001110211
41332031033103320
513314023243200
6550035120504
7103320413155
oct17615172370
95416231424
102117399800
1199724289a
124b1143134
132798a08b9
141612d922c
15c5d52aba
hex7e34f4f8

2117399800 has 48 divisors (see below), whose sum is σ = 4947786000. Its totient is φ = 842688000.

The previous prime is 2117399749. The next prime is 2117399831. The reversal of 2117399800 is 89937112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13200 + ... + 66400.

It is an arithmetic number, because the mean of its divisors is an integer number (103078875).

Almost surely, 22117399800 is an apocalyptic number.

2117399800 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 2117399800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473893000).

2117399800 is an abundant number, since it is smaller than the sum of its proper divisors (2830386200).

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

2117399800 is a wasteful number, since it uses less digits than its factorization.

2117399800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53416 (or 53407 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 2117399800 is about 46015.2127018881. The cubic root of 2117399800 is about 1284.1062385609.

The spelling of 2117399800 in words is "two billion, one hundred seventeen million, three hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3980 4975 7960 9950 19900 39800 53201 106402 212804 266005 425608 532010 1064020 1330025 2128040 2660050 5320100 10586999 10640200 21173998 42347996 52934995 84695992 105869990 211739980 264674975 423479960 529349950 1058699900 2117399800