Search a number
-
+
22757940 = 22325126433
BaseRepresentation
bin101011011010…
…0001000110100
31120211020000200
41112310020310
521311223230
62131440500
7364303452
oct126641064
946736020
1022757940
1111934417
127756130
13493a84a
1430459d2
151ee8160
hex15b4234

22757940 has 36 divisors (see below), whose sum is σ = 69032964. Its totient is φ = 6068736.

The previous prime is 22757939. The next prime is 22757989. The reversal of 22757940 is 4975722.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 8785296 = 3738^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 22757895 and 22757904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63037 + ... + 63396.

Almost surely, 222757940 is an apocalyptic number.

22757940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22757940 is an abundant number, since it is smaller than the sum of its proper divisors (46275024).

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

22757940 is a wasteful number, since it uses less digits than its factorization.

22757940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126448 (or 126443 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 22757940 is about 4770.5282726340. The cubic root of 22757940 is about 283.3855159558.

The spelling of 22757940 in words is "twenty-two million, seven hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 126433 252866 379299 505732 632165 758598 1137897 1264330 1517196 1896495 2275794 2528660 3792990 4551588 5689485 7585980 11378970 22757940