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2204898312100 = 2252112134992
BaseRepresentation
bin100000000101011110001…
…011100011111110100100
321210210020011011120110011
4200011132023203332210
5242111112431441400
64404525530540004
7315204302264251
oct40053613437644
97723204146404
102204898312100
11780101685400
122b73a7b97604
1312cbc862a273
1478a09322428
153c54b4bd8ba
hex2015e2e3fa4

2204898312100 has 81 divisors (see below), whose sum is σ = 5259527655361. Its totient is φ = 801721808800.

The previous prime is 2204898312083. The next prime is 2204898312103. The reversal of 2204898312100 is 12138984022.

The square root of 2204898312100 is 1484890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 793763392356 + 1411134919744 = 890934^2 + 1187912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2204898312103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163331151 + ... + 163344649.

Almost surely, 22204898312100 is an apocalyptic number.

2204898312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2204898312100 is the 1484890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204898312100

2204898312100 is an abundant number, since it is smaller than the sum of its proper divisors (3054629343261).

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

2204898312100 is an equidigital number, since it uses as much as digits as its factorization.

2204898312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27034 (or 13517 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 2204898312100 in words is "two trillion, two hundred four billion, eight hundred ninety-eight million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 13499 26998 53996 67495 134990 148489 269980 296978 337475 593956 674950 742445 1349900 1484890 1633379 2969780 3266758 3712225 6533516 7424450 8166895 14848900 16333790 32667580 40834475 81668950 163337900 182223001 364446002 728892004 911115005 1822230010 2004453011 3644460020 4008906022 4555575025 8017812044 9111150050 10022265055 18222300100 20044530110 22048983121 40089060220 44097966242 50111325275 88195932484 100222650550 110244915605 200445301100 220489831210 440979662420 551224578025 1102449156050 2204898312100