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2261541366 = 232788320327
BaseRepresentation
bin1000011011001100…
…0110000111110110
312211121111012112100
42012303012013312
514112423310431
61012224402530
7110020533030
oct20663060766
95747435470
102261541366
11a60643557
12531476446
132a06cb076
141764dac50
15d38264e6
hex86cc61f6

2261541366 has 48 divisors (see below), whose sum is σ = 5606625024. Its totient is φ = 645391152.

The previous prime is 2261541361. The next prime is 2261541371. The reversal of 2261541366 is 6631451622.

2261541366 is a `hidden beast` number, since 2 + 2 + 615 + 4 + 1 + 36 + 6 = 666.

2261541366 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 an interprime number because it is at equal distance from previous prime (2261541361) and next prime (2261541371).

It is a super-2 number, since 2×22615413662 = 10229138700258291912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261541366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261541361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101095 + ... + 121421.

It is an arithmetic number, because the mean of its divisors is an integer number (116804688).

Almost surely, 22261541366 is an apocalyptic number.

2261541366 is an abundant number, since it is smaller than the sum of its proper divisors (3345083658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2261541366 is a wasteful number, since it uses less digits than its factorization.

2261541366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21225 (or 21222 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2261541366 is about 47555.6659715748. The cubic root of 2261541366 is about 1312.6073908319.

Adding to 2261541366 its reverse (6631451622), we get a palindrome (8892992988).

The spelling of 2261541366 in words is "two billion, two hundred sixty-one million, five hundred forty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 883 1766 2649 5298 6181 7947 12362 15894 18543 20327 37086 40654 55629 60981 111258 121962 142289 182943 284578 365886 426867 853734 1280601 2561202 17948741 35897482 53846223 107692446 125641187 161538669 251282374 323077338 376923561 753847122 1130770683 2261541366