Search a number
-
+
22235408 = 2413532017
BaseRepresentation
bin101010011010…
…0100100010000
31112211200020122
41110310210100
521143013113
62112325412
7356666156
oct124644420
945750218
1022235408
1111607878
127543868
1347b6a60
142d4b3d6
151e43408
hex1534910

22235408 has 40 divisors (see below), whose sum is σ = 47293848. Its totient is φ = 10063872.

The previous prime is 22235399. The next prime is 22235417. The reversal of 22235408 is 80453222.

It is an interprime number because it is at equal distance from previous prime (22235399) and next prime (22235417).

It can be written as a sum of positive squares in 4 ways, for example, as 5161984 + 17073424 = 2272^2 + 4132^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10016 + ... + 12032.

Almost surely, 222235408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22235408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23646924).

22235408 is an abundant number, since it is smaller than the sum of its proper divisors (25058440).

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

22235408 is a wasteful number, since it uses less digits than its factorization.

22235408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 22235408 is about 4715.4435634413. The cubic root of 22235408 is about 281.1998173511.

The spelling of 22235408 in words is "twenty-two million, two hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2017 2756 4034 5512 8068 11024 16136 26221 32272 52442 104884 106901 209768 213802 419536 427604 855208 1389713 1710416 2779426 5558852 11117704 22235408