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2261156319 = 326313
BaseRepresentation
bin1000011011000110…
…1000000111011111
312211120202122100100
42012301220013133
514112324000234
61012212232143
7110014340322
oct20661500737
95746678310
102261156319
11a60400234
1253130b653
132a05c4a26
1417643a7b9
15d379c399
hex86c681df

2261156319 has 12 divisors (see below), whose sum is σ = 3271298992. Its totient is φ = 1505048580.

The previous prime is 2261156311. The next prime is 2261156369. The reversal of 2261156319 is 9136511622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2261156319 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 15 + 631 + 9 = 666.

2261156319 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2261156319 - 23 = 2261156311 is a prime.

It is a super-2 number, since 2×22611563192 = 10225655797907259522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261156311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3583134 + ... + 3583764.

Almost surely, 22261156319 is an apocalyptic number.

2261156319 is a deficient number, since it is larger than the sum of its proper divisors (1010142673).

2261156319 is an frugal number, since it uses more digits than its factorization.

2261156319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 634 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2261156319 is about 47551.6174172867. The cubic root of 2261156319 is about 1312.5328923458.

The spelling of 2261156319 in words is "two billion, two hundred sixty-one million, one hundred fifty-six thousand, three hundred nineteen".

Divisors: 1 3 9 631 1893 5679 398161 1194483 3583449 251239591 753718773 2261156319