Search a number
-
+
2422240200 = 233452149521
BaseRepresentation
bin1001000001100000…
…0111001111001000
320020210212112220000
42100120013033020
514430043141300
61040205003000
7114011462532
oct22030071710
96223775800
102422240200
111033322a06
12577253460
132c7aa4933
1418d9ac852
15e29bac00
hex906073c8

2422240200 has 120 divisors (see below), whose sum is σ = 8412855330. Its totient is φ = 645926400.

The previous prime is 2422240157. The next prime is 2422240201. The reversal of 2422240200 is 20422242.

2422240200 is a `hidden beast` number, since 2 + 422 + 2 + 40 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2290771044 + 131469156 = 47862^2 + 11466^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2422240201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 58561 + ... + 90960.

Almost surely, 22422240200 is an apocalyptic number.

2422240200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422240200 is an abundant number, since it is smaller than the sum of its proper divisors (5990615130).

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

2422240200 is a wasteful number, since it uses less digits than its factorization.

2422240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149549 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2422240200 is about 49216.2595084186. The cubic root of 2422240200 is about 1342.9888360573.

Adding to 2422240200 its reverse (20422242), we get a palindrome (2442662442).

The spelling of 2422240200 in words is "two billion, four hundred twenty-two million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 149521 299042 448563 598084 747605 897126 1196168 1345689 1495210 1794252 2242815 2691378 2990420 3588504 3738025 4037067 4485630 5382756 5980840 6728445 7476050 8074134 8971260 10765512 11214075 12111201 13456890 14952100 16148268 17942520 20185335 22428150 24222402 26913780 29904200 32296536 33642225 40370670 44856300 48444804 53827560 60556005 67284450 80741340 89712600 96889608 100926675 121112010 134568900 161482680 201853350 242224020 269137800 302780025 403706700 484448040 605560050 807413400 1211120100 2422240200