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2276148681 = 38192312
BaseRepresentation
bin1000011110101011…
…0100010111001001
312212121222100000000
42013222310113021
514130143224211
61013505433213
7110255641662
oct20752642711
95777870000
102276148681
11a68910214
1253633b809
132a3743a51
14178420369
15d4c5e656
hex87ab45c9

2276148681 has 81 divisors (see below), whose sum is σ = 3723175053. Its totient is φ = 1391194440.

The previous prime is 2276148659. The next prime is 2276148703. The reversal of 2276148681 is 1868416722.

The square root of 2276148681 is 47709.

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

2276148681 is a `hidden beast` number, since 2 + 27 + 614 + 8 + 6 + 8 + 1 = 666.

2276148681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2276148659) and next prime (2276148703).

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 2276148681 - 215 = 2276115913 is a prime.

It is a super-2 number, since 2×22761486812 = 10361705636036079522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2276148181) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73424136 + ... + 73424166.

Almost surely, 22276148681 is an apocalyptic number.

2276148681 is the 47709-th square number.

2276148681 is the 23855-th centered octagonal number.

It is an amenable number.

2276148681 is a deficient number, since it is larger than the sum of its proper divisors (1447026372).

2276148681 is an frugal number, since it uses more digits than its factorization.

2276148681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The cubic root of 2276148681 is about 1315.4273755330.

The spelling of 2276148681 in words is "two billion, two hundred seventy-six million, one hundred forty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 19 27 31 57 81 93 171 243 279 361 513 589 729 837 961 1083 1539 1767 2187 2511 2883 3249 4617 5301 6561 7533 8649 9747 11191 13851 15903 18259 22599 25947 29241 33573 41553 47709 54777 67797 77841 87723 100719 124659 143127 164331 203391 233523 263169 302157 346921 429381 492993 700569 789507 906471 1040763 1288143 1478979 2101707 2368521 2719413 3122289 3864429 4436937 6305121 8158239 9366867 13310811 24474717 28100601 39932433 73424151 84301803 119797299 252905409 758716227 2276148681