[go: up one dir, main page]

Search a number
-
+
4224001122 = 2341110722153
BaseRepresentation
bin1111101111000101…
…0010010001100010
3101220101012111020000
43323301102101202
532122321013442
61535051000430
7206450263035
oct37361222142
911811174200
104224001122
11187837a620
1299a739116
13524160363
142c0dc301c
1519ac70d4c
hexfbc52462

4224001122 has 80 divisors (see below), whose sum is σ = 10422304992. Its totient is φ = 1267980480.

The previous prime is 4224001121. The next prime is 4224001147. The reversal of 4224001122 is 2211004224.

4224001122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4224001095 and 4224001104.

It is not an unprimeable number, because it can be changed into a prime (4224001121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179598 + ... + 201750.

Almost surely, 24224001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211152496).

4224001122 is an abundant number, since it is smaller than the sum of its proper divisors (6198303870).

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

4224001122 is a wasteful number, since it uses less digits than its factorization.

4224001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285 (or 22276 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4224001122 is about 64992.3158688779. The cubic root of 4224001122 is about 1616.4961513761.

Adding to 4224001122 its reverse (2211004224), we get a palindrome (6435005346).

The spelling of 4224001122 in words is "four billion, two hundred twenty-four million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 297 321 594 642 891 963 1177 1782 1926 2354 2889 3531 5778 7062 8667 10593 17334 21186 22153 31779 44306 63558 66459 95337 132918 190674 199377 243683 398754 487366 598131 731049 1196262 1462098 1794393 2193147 2370371 3588786 4386294 4740742 6579441 7111113 13158882 14222226 19738323 21333339 26074081 39476646 42666678 52148162 64000017 78222243 128000034 156444486 192000051 234666729 384000102 469333458 704000187 1408000374 2112000561 4224001122