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2223960777025 = 52132229432
BaseRepresentation
bin100000010111001110011…
…001000110000101000001
321212121102122120010100121
4200113032121012011001
5242414132424331100
64421401245420241
7316450551461611
oct40271631060501
97777378503317
102223960777025
117881a3975449
122bb027b6a681
131319459c8900
14798d6cbaa41
153ccb4c9651a
hex205ce646141

2223960777025 has 27 divisors (see below), whose sum is σ = 2986290986889. Its totient is φ = 1642237914720.

The previous prime is 2223960777007. The next prime is 2223960777079. The reversal of 2223960777025 is 5207770693222.

The square root of 2223960777025 is 1491295.

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 573229180161 + 1650731596864 = 757119^2 + 1284808^2 .

It is not a de Polignac number, because 2223960777025 - 229 = 2223423906113 is a prime.

It is a Duffinian number.

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, 96922704 + ... + 96945646.

Almost surely, 22223960777025 is an apocalyptic number.

2223960777025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2223960777025 is the 1491295-th square number.

2223960777025 is the 745648-th centered octagonal number.

It is an amenable number.

2223960777025 is a deficient number, since it is larger than the sum of its proper divisors (762330209864).

2223960777025 is an frugal number, since it uses more digits than its factorization.

2223960777025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45922 (or 22961 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 2223960777025 in words is "two trillion, two hundred twenty-three billion, nine hundred sixty million, seven hundred seventy-seven thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 22943 114715 298259 573575 1491295 3877367 7456475 19386835 96934175 526381249 2631906245 6842956237 13159531225 34214781185 88958431081 171073905925 444792155405 2223960777025