Search a number
-
+
22153560 = 233511131291
BaseRepresentation
bin101010010000…
…0100101011000
31112200111222020
41110200211120
521132403220
62110454440
7356205432
oct124404530
945614866
1022153560
1111561330
127504420
134788720
142d29652
151e29040
hex1520958

22153560 has 128 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 4953600.

The previous prime is 22153543. The next prime is 22153597. The reversal of 22153560 is 6535122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22153560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16515 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 222153560 is an apocalyptic number.

22153560 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 22153560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

22153560 is an abundant number, since it is smaller than the sum of its proper divisors (55986600).

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

22153560 is a wasteful number, since it uses less digits than its factorization.

22153560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 22153560 is about 4706.7568452173. The cubic root of 22153560 is about 280.8543632215.

Adding to 22153560 its reverse (6535122), we get a palindrome (28688682).

It can be divided in two parts, 2215 and 3560, that added together give a palindrome (5775).

The spelling of 22153560 in words is "twenty-two million, one hundred fifty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1291 1320 1430 1560 1716 2145 2582 2860 3432 3873 4290 5164 5720 6455 7746 8580 10328 12910 14201 15492 16783 17160 19365 25820 28402 30984 33566 38730 42603 50349 51640 56804 67132 71005 77460 83915 85206 100698 113608 134264 142010 154920 167830 170412 184613 201396 213015 251745 284020 335660 340824 369226 402792 426030 503490 553839 568040 671320 738452 852060 923065 1006980 1107678 1476904 1704120 1846130 2013960 2215356 2769195 3692260 4430712 5538390 7384520 11076780 22153560