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2422723380100 = 225231250212
BaseRepresentation
bin100011010000010101100…
…100010000001110000100
322120121110202110112101021
4203100111210100032010
5304143214141130400
65052552254040524
7340015225643452
oct43202544201604
98517422415337
102422723380100
11854520207a61
123316591a9144
1314760085b84a
14853908d59d2
154304979471a
hex23415910384

2422723380100 has 81 divisors (see below), whose sum is σ = 5433453182703. Its totient is φ = 937641624000.

The previous prime is 2422723380097. The next prime is 2422723380163. The reversal of 2422723380100 is 10833272242.

The square root of 2422723380100 is 1556510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 257022636676 + 2165700743424 = 506974^2 + 1471632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 482515590 + ... + 482520610.

Almost surely, 22422723380100 is an apocalyptic number.

2422723380100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2422723380100 is the 1556510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422723380100

2422723380100 is an abundant number, since it is smaller than the sum of its proper divisors (3010729802603).

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

2422723380100 is an frugal number, since it uses more digits than its factorization.

2422723380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 2422723380100 in words is "two trillion, four hundred twenty-two billion, seven hundred twenty-three million, three hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 5021 9610 10042 19220 20084 24025 25105 48050 50210 96100 100420 125525 155651 251050 311302 502100 622604 778255 1556510 3113020 3891275 4825181 7782550 9650362 15565100 19300724 24125905 25210441 48251810 50420882 96503620 100841764 120629525 126052205 241259050 252104410 482518100 504208820 630261025 781523671 1260522050 1563047342 2521044100 3126094684 3907618355 7815236710 15630473420 19538091775 24227233801 39076183550 48454467602 78152367100 96908935204 121136169005 242272338010 484544676020 605680845025 1211361690050 2422723380100