Search a number
-
+
22501314 = 236112361
BaseRepresentation
bin101010111010…
…1011111000010
31120100012000000
41111311133002
521230020224
62122140430
7362154333
oct125653702
946305000
1022501314
1111779630
127651716
13487aab4
142dba28a
151e970c9
hex15757c2

22501314 has 112 divisors (see below), whose sum is σ = 58549824. Its totient is φ = 6415200.

The previous prime is 22501273. The next prime is 22501321. The reversal of 22501314 is 41310522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 368844 + ... + 368904.

Almost surely, 222501314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22501314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29274912).

22501314 is an abundant number, since it is smaller than the sum of its proper divisors (36048510).

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

22501314 is a wasteful number, since it uses less digits than its factorization.

22501314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22501314 is about 4743.5549959919. The cubic root of 22501314 is about 282.3163042077.

Adding to 22501314 its reverse (41310522), we get a palindrome (63811836).

The spelling of 22501314 in words is "twenty-two million, five hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 61 66 69 81 99 122 138 162 183 198 207 243 253 297 366 414 486 506 549 594 621 671 729 759 891 1098 1242 1342 1403 1458 1518 1647 1782 1863 2013 2277 2673 2806 3294 3726 4026 4209 4554 4941 5346 5589 6039 6831 8019 8418 9882 11178 12078 12627 13662 14823 15433 16038 16767 18117 20493 25254 29646 30866 33534 36234 37881 40986 44469 46299 54351 61479 75762 88938 92598 108702 113643 122958 138897 163053 184437 227286 277794 326106 340929 368874 416691 489159 681858 833382 978318 1022787 1250073 2045574 2500146 3750219 7500438 11250657 22501314