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2900116900 = 225261475429
BaseRepresentation
bin1010110011011100…
…0100010110100100
321111010002012111001
42230313010112210
521414412220100
61155435323044
7131603405212
oct25467042644
97433065431
102900116900
11125904982a
1268b2b0484
13372ab2005
141d7245cb2
1511e913d6a
hexacdc45a4

2900116900 has 36 divisors (see below), whose sum is σ = 6396435220. Its totient is φ = 1141027200.

The previous prime is 2900116883. The next prime is 2900116903. The reversal of 2900116900 is 96110092.

It can be written as a sum of positive squares in 6 ways, for example, as 207129664 + 2692987236 = 14392^2 + 51894^2 .

It is a super-2 number, since 2×29001169002 = 16821356067331220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2900116903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231615 + ... + 243814.

Almost surely, 22900116900 is an apocalyptic number.

2900116900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2900116900 is an abundant number, since it is smaller than the sum of its proper divisors (3496318320).

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

2900116900 is a wasteful number, since it uses less digits than its factorization.

2900116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475504 (or 475497 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 2900116900 is about 53852.7334496588. The cubic root of 2900116900 is about 1426.0623083153.

Adding to 2900116900 its reverse (96110092), we get a palindrome (2996226992).

The spelling of 2900116900 in words is "two billion, nine hundred million, one hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 475429 950858 1901716 2377145 4754290 9508580 11885725 23771450 29001169 47542900 58002338 116004676 145005845 290011690 580023380 725029225 1450058450 2900116900