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22561240 = 23513431009
BaseRepresentation
bin101011000010…
…0000111011000
31120110020012111
41112010013120
521233424430
62123322104
7362524132
oct126040730
946406174
1022561240
111180a659
127680334
13489c160
142dd4052
151ea9c2a
hex15841d8

22561240 has 64 divisors (see below), whose sum is σ = 55994400. Its totient is φ = 8128512.

The previous prime is 22561219. The next prime is 22561243. The reversal of 22561240 is 4216522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22561243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21856 + ... + 22864.

Almost surely, 222561240 is an apocalyptic number.

22561240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27997200).

22561240 is an abundant number, since it is smaller than the sum of its proper divisors (33433160).

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

22561240 is a wasteful number, since it uses less digits than its factorization.

22561240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 22561240 is about 4749.8673665693. The cubic root of 22561240 is about 282.5667057347.

Adding to 22561240 its reverse (4216522), we get a palindrome (26777762).

It can be divided in two parts, 22561 and 240, that added together give a square (22801 = 1512).

The spelling of 22561240 in words is "twenty-two million, five hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1009 1118 1720 2018 2236 2795 4036 4472 5045 5590 8072 10090 11180 13117 20180 22360 26234 40360 43387 52468 65585 86774 104936 131170 173548 216935 262340 347096 433870 524680 564031 867740 1128062 1735480 2256124 2820155 4512248 5640310 11280620 22561240