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2242071996025 = 522994712
BaseRepresentation
bin100000101000000101111…
…001111010011001111001
321221100011212000101011111
4200220011321322121321
5243213230412333100
64433554344000321
7320661430343431
oct40500571723171
97840155011144
102242071996025
11794948211334
123026414600a1
13133570c9a344
147a7343b92c1
153d4c4cbd6ba
hex20a05e7a679

2242071996025 has 9 divisors (see below), whose sum is σ = 2780178558703. Its totient is φ = 1793651607400.

The previous prime is 2242071995957. The next prime is 2242071996037. The reversal of 2242071996025 is 5206991702422.

The square root of 2242071996025 is 1497355.

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., 807145918569 + 1434926077456 = 898413^2 + 1197884^2 .

It is not a de Polignac number, because 2242071996025 - 213 = 2242071987833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242071996025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7337040 + ... + 7636510.

Almost surely, 22242071996025 is an apocalyptic number.

2242071996025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2242071996025 is the 1497355-th square number.

2242071996025 is the 748678-th centered octagonal number.

It is an amenable number.

2242071996025 is a deficient number, since it is larger than the sum of its proper divisors (538106562678).

2242071996025 is an frugal number, since it uses more digits than its factorization.

2242071996025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598952 (or 299476 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 2242071996025 by its sum of digits (49), we get a square (109861527805225 = 104814852).

The spelling of 2242071996025 in words is "two trillion, two hundred forty-two billion, seventy-one million, nine hundred ninety-six thousand, twenty-five".

Divisors: 1 5 25 299471 1497355 7486775 89682879841 448414399205 2242071996025