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2302100000 = 255523021
BaseRepresentation
bin1000100100110111…
…0100001000100000
312221102210210111222
42021031310020200
514203314200000
61020233554212
7111022345544
oct21115641040
95842723458
102302100000
11a81525892
12542b75968
132a8c2bc65
1417ba57a24
15d7188a85
hex89374220

2302100000 has 72 divisors (see below), whose sum is σ = 5665207716. Its totient is φ = 920800000.

The previous prime is 2302099981. The next prime is 2302100057. The reversal of 2302100000 is 12032.

It can be written as a sum of positive squares in 6 ways, for example, as 659256976 + 1642843024 = 25676^2 + 40532^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88490 + ... + 111510.

Almost surely, 22302100000 is an apocalyptic number.

2302100000 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 2302100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832603858).

2302100000 is an abundant number, since it is smaller than the sum of its proper divisors (3363107716).

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

2302100000 is an frugal number, since it uses more digits than its factorization.

2302100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2302100000 is about 47980.2042513368. The cubic root of 2302100000 is about 1320.4077405825.

Adding to 2302100000 its reverse (12032), we get a palindrome (2302112032).

The spelling of 2302100000 in words is "two billion, three hundred two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 23021 25000 46042 50000 92084 100000 115105 184168 230210 368336 460420 575525 736672 920840 1151050 1841680 2302100 2877625 3683360 4604200 5755250 9208400 11510500 14388125 18416800 23021000 28776250 46042000 57552500 71940625 92084000 115105000 143881250 230210000 287762500 460420000 575525000 1151050000 2302100000