Search a number
-
+
2261319558 = 231657322741
BaseRepresentation
bin1000011011001000…
…1111111110000110
312211121001221021020
42012302033332012
514112344211213
61012215532010
7110015620251
oct20662177606
95747057236
102261319558
11a60501943
1253138a006
132a0651114
14176480098
15d37d0923
hex86c8ff86

2261319558 has 16 divisors (see below), whose sum is σ = 4523110896. Its totient is φ = 753694560.

The previous prime is 2261319553. The next prime is 2261319563. The reversal of 2261319558 is 8559131622.

It is an interprime number because it is at equal distance from previous prime (2261319553) and next prime (2261319563).

It is a super-2 number, since 2×22613195582 = 10227132286786630728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261319553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88068 + ... + 110808.

It is an arithmetic number, because the mean of its divisors is an integer number (282694431).

Almost surely, 22261319558 is an apocalyptic number.

2261319558 is an abundant number, since it is smaller than the sum of its proper divisors (2261791338).

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

2261319558 is a wasteful number, since it uses less digits than its factorization.

2261319558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39319.

The product of its digits is 129600, while the sum is 42.

The square root of 2261319558 is about 47553.3338263470. Note that the first 3 decimals coincide. The cubic root of 2261319558 is about 1312.5644766874.

The spelling of 2261319558 in words is "two billion, two hundred sixty-one million, three hundred nineteen thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 16573 22741 33146 45482 49719 68223 99438 136446 376886593 753773186 1130659779 2261319558