Search a number
-
+
22414030314 = 23131947833877
BaseRepresentation
bin10100110111111110…
…101111010111101010
32010212001221201021220
4110313332233113222
5331400442432224
614144042242510
71422304054104
oct246776572752
963761851256
1022414030314
1195621547a5
1244164b6436
132162866740
141128b58574
158b2b64279
hex537faf5ea

22414030314 has 128 divisors (see below), whose sum is σ = 52537282560. Its totient is φ = 6315957504.

The previous prime is 22414030297. The next prime is 22414030319. The reversal of 22414030314 is 41303041422.

It is not an unprimeable number, because it can be changed into a prime (22414030319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5779344 + ... + 5783220.

It is an arithmetic number, because the mean of its divisors is an integer number (410447520).

Almost surely, 222414030314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22414030314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268641280).

22414030314 is an abundant number, since it is smaller than the sum of its proper divisors (30123252246).

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

22414030314 is a wasteful number, since it uses less digits than its factorization.

22414030314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22414030314 its reverse (41303041422), we get a palindrome (63717071736).

The spelling of 22414030314 in words is "twenty-two billion, four hundred fourteen million, thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 47 57 78 83 94 114 141 166 247 249 282 494 498 611 741 893 1079 1222 1482 1577 1786 1833 2158 2679 3154 3237 3666 3877 3901 4731 5358 6474 7754 7802 9462 11609 11631 11703 20501 23218 23262 23406 34827 41002 50401 50713 61503 69654 73663 74119 100802 101426 123006 147326 148238 151203 152139 182219 220989 222357 302406 304278 321791 364438 441978 444714 546657 643582 957619 963547 965373 1093314 1915238 1927094 1930746 2368847 2872857 2890641 3462161 4183283 4737694 5745714 5781282 6114029 6924322 7106541 8366566 10386483 12228058 12549849 14213082 15124177 18342087 20772966 25099698 30248354 36684174 45008093 45372531 79482377 90016186 90745062 135024279 158964754 196614301 238447131 270048558 287359363 393228602 476894262 574718726 589842903 862078089 1179685806 1724156178 3735671719 7471343438 11207015157 22414030314