Search a number
-
+
22731120 = 24325131241
BaseRepresentation
bin101011010110…
…1100101110000
31120202212020100
41112231211300
521304343440
62131112400
7364132326
oct126554560
946685210
1022731120
1111916255
127742700
13492b589
143039d16
151ee0230
hex15ad970

22731120 has 120 divisors (see below), whose sum is σ = 77240592. Its totient is φ = 5990400.

The previous prime is 22731089. The next prime is 22731131. The reversal of 22731120 is 2113722.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 22731093 and 22731102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94200 + ... + 94440.

Almost surely, 222731120 is an apocalyptic number.

22731120 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 22731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620296).

22731120 is an abundant number, since it is smaller than the sum of its proper divisors (54509472).

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

22731120 is a wasteful number, since it uses less digits than its factorization.

22731120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 22731120 is about 4767.7164345208. The cubic root of 22731120 is about 283.2741498837.

Adding to 22731120 its reverse (2113722), we get a palindrome (24844842).

The spelling of 22731120 in words is "twenty-two million, seven hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 241 262 360 393 482 524 655 720 723 786 964 1048 1179 1205 1310 1446 1572 1928 1965 2096 2169 2358 2410 2620 2892 3144 3615 3856 3930 4338 4716 4820 5240 5784 5895 6288 7230 7860 8676 9432 9640 10480 10845 11568 11790 14460 15720 17352 18864 19280 21690 23580 28920 31440 31571 34704 43380 47160 57840 63142 86760 94320 94713 126284 157855 173520 189426 252568 284139 315710 378852 473565 505136 568278 631420 757704 947130 1136556 1262840 1420695 1515408 1894260 2273112 2525680 2841390 3788520 4546224 5682780 7577040 11365560 22731120