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2230321100 = 225279193467
BaseRepresentation
bin1000010011101111…
…1111111111001100
312202102202001101012
42010323333333030
514031430233400
61005151304352
7106161262610
oct20473777714
95672661335
102230321100
11a44a5a287
12522b1b0b8
132970b9837
141722d1340
15d0c0ad35
hex84efffcc

2230321100 has 72 divisors (see below), whose sum is σ = 5538812160. Its totient is φ = 763629120.

The previous prime is 2230321007. The next prime is 2230321117. The reversal of 2230321100 is 11230322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 641567 + ... + 645033.

Almost surely, 22230321100 is an apocalyptic number.

2230321100 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 2230321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769406080).

2230321100 is an abundant number, since it is smaller than the sum of its proper divisors (3308491060).

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

2230321100 is a wasteful number, since it uses less digits than its factorization.

2230321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2230321100 is about 47226.2755253895. The cubic root of 2230321100 is about 1306.5392601319.

Adding to 2230321100 its reverse (11230322), we get a palindrome (2241551422).

The spelling of 2230321100 in words is "two billion, two hundred thirty million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 919 1838 3467 3676 4595 6433 6934 9190 12866 13868 17335 18380 22975 24269 25732 32165 34670 45950 48538 64330 69340 86675 91900 97076 121345 128660 160825 173350 242690 321650 346700 485380 606725 643300 1213450 2426900 3186173 6372346 12744692 15930865 22303211 31861730 44606422 63723460 79654325 89212844 111516055 159308650 223032110 318617300 446064220 557580275 1115160550 2230321100