Search a number
-
+
22773780 = 22325196659
BaseRepresentation
bin101011011100…
…0000000010100
31120212000202100
41112320000110
521312230110
62132042100
7364400601
oct126700024
946760670
1022773780
1111945307
127763330
134944b13
14304b6a8
151eecbc0
hex15b8014

22773780 has 72 divisors (see below), whose sum is σ = 72727200. Its totient is φ = 5752512.

The previous prime is 22773743. The next prime is 22773781. The reversal of 22773780 is 8737722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22773781) 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, 91 + ... + 6749.

It is an arithmetic number, because the mean of its divisors is an integer number (1010100).

Almost surely, 222773780 is an apocalyptic number.

22773780 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 22773780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36363600).

22773780 is an abundant number, since it is smaller than the sum of its proper divisors (49953420).

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

22773780 is a wasteful number, since it uses less digits than its factorization.

22773780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6688 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 22773780 is about 4772.1881773459. The cubic root of 22773780 is about 283.4512481140.

The spelling of 22773780 in words is "twenty-two million, seven hundred seventy-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6659 13318 19977 26636 33295 39954 59931 66590 79908 99885 119862 126521 133180 199770 239724 253042 299655 379563 399540 506084 599310 632605 759126 1138689 1198620 1265210 1518252 1897815 2277378 2530420 3795630 4554756 5693445 7591260 11386890 22773780