Search a number
-
+
22103568 = 2432296779
BaseRepresentation
bin101010001010…
…0011000010000
31112120222101200
41110110120100
521124303233
62105431200
7355606614
oct124243020
945528350
1022103568
1111527813
12749b500
13476ba46
142d15344
151e19313
hex1514610

22103568 has 120 divisors (see below), whose sum is σ = 65769600. Its totient is φ = 6918912.

The previous prime is 22103563. The next prime is 22103569. The reversal of 22103568 is 86530122.

It is not an unprimeable number, because it can be changed into a prime (22103561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279753 + ... + 279831.

It is an arithmetic number, because the mean of its divisors is an integer number (548080).

Almost surely, 222103568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22103568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32884800).

22103568 is an abundant number, since it is smaller than the sum of its proper divisors (43666032).

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

22103568 is a wasteful number, since it uses less digits than its factorization.

22103568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22103568 is about 4701.4431826834. The cubic root of 22103568 is about 280.6429442910.

It can be divided in two parts, 2210 and 3568, that added together give a triangular number (5778 = T107).

The spelling of 22103568 in words is "twenty-two million, one hundred three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 67 72 79 87 116 134 144 158 174 201 232 237 261 268 316 348 402 464 474 522 536 603 632 696 711 804 948 1044 1072 1206 1264 1392 1422 1608 1896 1943 2088 2291 2412 2844 3216 3792 3886 4176 4582 4824 5293 5688 5829 6873 7772 9164 9648 10586 11376 11658 13746 15544 15879 17487 18328 20619 21172 23316 27492 31088 31758 34974 36656 41238 42344 46632 47637 54984 63516 69948 82476 84688 93264 95274 109968 127032 139896 153497 164952 190548 254064 279792 306994 329904 381096 460491 613988 762192 920982 1227976 1381473 1841964 2455952 2762946 3683928 5525892 7367856 11051784 22103568