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2270055852961 = 1317433149315889
BaseRepresentation
bin100001000010001001110…
…111110110101110100001
322001000102002120121012021
4201002021313312232201
5244143033244243321
64454503235101441
7323002046244241
oct41021167665641
98030362517167
102270055852961
117a57a8392226
12307b51141881
131360b0755380
147bc2ab65b21
153e0b18e6941
hex21089df6ba1

2270055852961 has 32 divisors (see below), whose sum is σ = 2596359134880. Its totient is φ = 1966178893824.

The previous prime is 2270055852917. The next prime is 2270055852989. The reversal of 2270055852961 is 1692585500722.

It can be written as a sum of positive squares in 16 ways, for example, as 725426958400 + 1544628894561 = 851720^2 + 1242831^2 .

It is a cyclic number.

It is not a de Polignac number, because 2270055852961 - 27 = 2270055852833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2270055852899 and 2270055852908.

It is not an unprimeable number, because it can be changed into a prime (2270055852161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142861705 + ... + 142877593.

It is an arithmetic number, because the mean of its divisors is an integer number (81136222965).

Almost surely, 22270055852961 is an apocalyptic number.

It is an amenable number.

2270055852961 is a deficient number, since it is larger than the sum of its proper divisors (326303281919).

2270055852961 is a wasteful number, since it uses less digits than its factorization.

2270055852961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17845.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 2270055852961 in words is "two trillion, two hundred seventy billion, fifty-five million, eight hundred fifty-two thousand, nine hundred sixty-one".

Divisors: 1 13 17 221 433 1493 5629 7361 15889 19409 25381 95693 206557 270113 329953 646469 3511469 6879937 8404097 10989973 23722277 89439181 116958929 142869649 308389601 403278709 1520466077 5242623217 10271745941 133532697233 174619680997 2270055852961