Search a number
-
+
22435630 = 257331211
BaseRepresentation
bin101010110010…
…1011100101110
31120012211220021
41111211130232
521220420010
62120512354
7361462000
oct125453456
946184807
1022435630
1111734248
12761b6ba
134856c29
142da0370
151e828da
hex156572e

22435630 has 64 divisors (see below), whose sum is σ = 48844800. Its totient is φ = 7408800.

The previous prime is 22435627. The next prime is 22435639. The reversal of 22435630 is 3653422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22435595 and 22435604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22435639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106225 + ... + 106435.

It is an arithmetic number, because the mean of its divisors is an integer number (763200).

Almost surely, 222435630 is an apocalyptic number.

22435630 is an abundant number, since it is smaller than the sum of its proper divisors (26409170).

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

22435630 is a wasteful number, since it uses less digits than its factorization.

22435630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 22435630 is about 4736.6264366108. The cubic root of 22435630 is about 282.0413315674.

The spelling of 22435630 in words is "twenty-two million, four hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 211 217 245 310 343 422 434 490 686 1055 1085 1477 1519 1715 2110 2170 2954 3038 3430 6541 7385 7595 10339 10633 13082 14770 15190 20678 21266 32705 45787 51695 53165 65410 72373 91574 103390 106330 144746 228935 320509 361865 457870 641018 723730 1602545 2243563 3205090 4487126 11217815 22435630