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22235224 = 2311376829
BaseRepresentation
bin101010011010…
…0100001011000
31112211122222211
41110310201120
521143011344
62112324504
7356665504
oct124644130
945748884
1022235224
1111607720
127543734
1347b694b
142d4b304
151e43334
hex1534858

22235224 has 32 divisors (see below), whose sum is σ = 46717200. Its totient is φ = 9832320.

The previous prime is 22235219. The next prime is 22235231. The reversal of 22235224 is 42253222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 22235195 and 22235204.

It is a congruent number.

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, 159 + ... + 6670.

Almost surely, 222235224 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 22235224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23358600).

22235224 is an abundant number, since it is smaller than the sum of its proper divisors (24481976).

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

22235224 is a wasteful number, since it uses less digits than its factorization.

22235224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6879 counting only the distinct ones).

The product of its digits is 1920, while the sum is 22.

The square root of 22235224 is about 4715.4240530413. The cubic root of 22235224 is about 281.1990416977.

Adding to 22235224 its reverse (42253222), we get a palindrome (64488446).

It can be divided in two parts, 2223 and 5224, that added together give a palindrome (7447).

The spelling of 22235224 in words is "twenty-two million, two hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 6829 13658 27316 54632 75119 150238 252673 300476 505346 600952 1010692 2021384 2779403 5558806 11117612 22235224