Search a number
-
+
2242807920 = 243351038337
BaseRepresentation
bin1000010110101110…
…1000100001110000
312210022020110002000
42011223220201300
514043124323140
61010315054000
7106402360413
oct20553504160
95708213060
102242807920
11a51008871
12527141300
1329986c2a2
14173c21b7a
15d1d75a30
hex85ae8870

2242807920 has 80 divisors (see below), whose sum is σ = 7725234720. Its totient is φ = 598081536.

The previous prime is 2242807913. The next prime is 2242807927. The reversal of 2242807920 is 297082422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2242807913) and next prime (2242807927).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242807927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517009 + ... + 521328.

It is an arithmetic number, because the mean of its divisors is an integer number (96565434).

Almost surely, 22242807920 is an apocalyptic number.

2242807920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242807920 is an abundant number, since it is smaller than the sum of its proper divisors (5482426800).

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

2242807920 is a wasteful number, since it uses less digits than its factorization.

2242807920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038359 (or 1038347 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2242807920 is about 47358.2930435631. The cubic root of 2242807920 is about 1308.9730155826.

The spelling of 2242807920 in words is "two billion, two hundred forty-two million, eight hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1038337 2076674 3115011 4153348 5191685 6230022 8306696 9345033 10383370 12460044 15575055 16613392 18690066 20766740 24920088 28035099 31150110 37380132 41533480 46725165 49840176 56070198 62300220 74760264 83066960 93450330 112140396 124600440 140175495 149520528 186900660 224280792 249200880 280350990 373801320 448561584 560701980 747602640 1121403960 2242807920