Search a number
-
+
2242706640 = 243517549683
BaseRepresentation
bin1000010110101100…
…1111110011010000
312210022001022010220
42011223033303100
514043113103030
61010312553040
7106401456216
oct20553176320
95708038126
102242706640
11a50a49769
125270b2780
13299835165
14173bd6cb6
15d1d55a10
hex85acfcd0

2242706640 has 80 divisors (see below), whose sum is σ = 7361368128. Its totient is φ = 562874368.

The previous prime is 2242706633. The next prime is 2242706647. The reversal of 2242706640 is 466072422.

2242706640 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 (2242706633) and next prime (2242706647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242706647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270762 + ... + 278921.

Almost surely, 22242706640 is an apocalyptic number.

2242706640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242706640 is an abundant number, since it is smaller than the sum of its proper divisors (5118661488).

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

2242706640 is a wasteful number, since it uses less digits than its factorization.

2242706640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549716 (or 549710 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2242706640 is about 47357.2237361947. The cubic root of 2242706640 is about 1308.9533118916.

The spelling of 2242706640 in words is "two billion, two hundred forty-two million, seven hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 549683 1099366 1649049 2198732 2748415 3298098 4397464 5496830 6596196 8245245 8794928 9344611 10993660 13192392 16490490 18689222 21987320 26384784 28033833 32980980 37378444 43974640 46723055 56067666 65961960 74756888 93446110 112135332 131923920 140169165 149513776 186892220 224270664 280338330 373784440 448541328 560676660 747568880 1121353320 2242706640