Search a number
-
+
22803825 = 35211131211
BaseRepresentation
bin101011011111…
…1010101110001
31120220112222010
41112333111301
521314210300
62132433133
7364554312
oct126772561
946815863
1022803825
1111965940
1277787a9
1349556b5
143058609
152006a50
hex15bf571

22803825 has 48 divisors (see below), whose sum is σ = 41640192. Its totient is φ = 10920000.

The previous prime is 22803821. The next prime is 22803829. The reversal of 22803825 is 52830822.

It is an interprime number because it is at equal distance from previous prime (22803821) and next prime (22803829).

It is not a de Polignac number, because 22803825 - 22 = 22803821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22803792 and 22803801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22803821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107970 + ... + 108180.

It is an arithmetic number, because the mean of its divisors is an integer number (867504).

Almost surely, 222803825 is an apocalyptic number.

22803825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22803825 is a deficient number, since it is larger than the sum of its proper divisors (18836367).

22803825 is a wasteful number, since it uses less digits than its factorization.

22803825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 22803825 is about 4775.3350667780. The cubic root of 22803825 is about 283.5758438899.

It can be divided in two parts, 2280 and 3825, that added together give a triangular number (6105 = T110).

The spelling of 22803825 in words is "twenty-two million, eight hundred three thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 131 165 211 275 393 633 655 825 1055 1441 1965 2321 3165 3275 4323 5275 6963 7205 9825 11605 15825 21615 27641 34815 36025 58025 82923 108075 138205 174075 304051 414615 691025 912153 1520255 2073075 4560765 7601275 22803825