Search a number
-
+
2232112240 = 245177322483
BaseRepresentation
bin1000010100001011…
…0101010001110000
312202120010001100201
42011002311101300
514032410042430
61005253524544
7106212432601
oct20502652160
95676101321
102232112240
11a45a72a66
12523643754
13297595b97
14172639da8
15d0e618ca
hex850b5470

2232112240 has 80 divisors (see below), whose sum is σ = 5570455968. Its totient is φ = 828776448.

The previous prime is 2232112219. The next prime is 2232112247. The reversal of 2232112240 is 422112322.

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

It is a super-3 number, since 3×22321122403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232112247) 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, 88039 + ... + 110521.

Almost surely, 22232112240 is an apocalyptic number.

2232112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785227984).

2232112240 is an abundant number, since it is smaller than the sum of its proper divisors (3338343728).

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

2232112240 is a wasteful number, since it uses less digits than its factorization.

2232112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22586 (or 22580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2232112240 is about 47245.2351036589. The cubic root of 2232112240 is about 1306.8889210769. Note that the first 3 decimals are identical.

Adding to 2232112240 its reverse (422112322), we get a palindrome (2654224562).

The spelling of 2232112240 in words is "two billion, two hundred thirty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 146 170 272 292 340 365 584 680 730 1168 1241 1360 1460 2482 2920 4964 5840 6205 9928 12410 19856 22483 24820 44966 49640 89932 99280 112415 179864 224830 359728 382211 449660 764422 899320 1528844 1641259 1798640 1911055 3057688 3282518 3822110 6115376 6565036 7644220 8206295 13130072 15288440 16412590 26260144 27901403 30576880 32825180 55802806 65650360 111605612 131300720 139507015 223211224 279014030 446422448 558028060 1116056120 2232112240