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22968330 = 23571161163
BaseRepresentation
bin101011110011…
…1100000001010
31121012220121220
41113213200022
521334441310
62140142510
7366141030
oct127474012
947186556
1022968330
1111a684a0
127837a36
1349b2538
14309c550
15203a670
hex15e780a

22968330 has 128 divisors (see below), whose sum is σ = 70281216. Its totient is φ = 4665600.

The previous prime is 22968313. The next prime is 22968349. The reversal of 22968330 is 3386922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22968291 and 22968300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140829 + ... + 140991.

It is an arithmetic number, because the mean of its divisors is an integer number (549072).

Almost surely, 222968330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22968330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35140608).

22968330 is an abundant number, since it is smaller than the sum of its proper divisors (47312886).

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

22968330 is a wasteful number, since it uses less digits than its factorization.

22968330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 22968330 is about 4792.5285601653. The cubic root of 22968330 is about 284.2561086554.

The spelling of 22968330 in words is "twenty-two million, nine hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 61 66 70 77 105 110 122 154 163 165 183 210 231 305 326 330 366 385 427 462 489 610 671 770 815 854 915 978 1141 1155 1281 1342 1630 1793 1830 2013 2135 2282 2310 2445 2562 3355 3423 3586 4026 4270 4697 4890 5379 5705 6405 6710 6846 8965 9394 9943 10065 10758 11410 12551 12810 14091 17115 17930 19886 20130 23485 25102 26895 28182 29829 34230 37653 46970 49715 53790 59658 62755 69601 70455 75306 99430 109373 125510 139202 140910 149145 188265 208803 218746 298290 328119 348005 376530 417606 546865 656238 696010 765611 1044015 1093730 1531222 1640595 2088030 2296833 3281190 3828055 4593666 7656110 11484165 22968330