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22234900 = 2252222349
BaseRepresentation
bin101010011010…
…0011100010100
31112211122112211
41110310130110
521143004100
62112323204
7356664532
oct124643424
945748484
1022234900
1111607456
127543504
1347b675c
142d4b152
151e431ba
hex1534714

22234900 has 18 divisors (see below), whose sum is σ = 48249950. Its totient is φ = 8893920.

The previous prime is 22234873. The next prime is 22234907. The reversal of 22234900 is 943222.

22234900 = 9512 + 9522 + ... + 9742.

It can be written as a sum of positive squares in 3 ways, for example, as 1331716 + 20903184 = 1154^2 + 4572^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234907) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 111075 + ... + 111274.

Almost surely, 222234900 is an apocalyptic number.

22234900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22234900 is an abundant number, since it is smaller than the sum of its proper divisors (26015050).

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

22234900 is a wasteful number, since it uses less digits than its factorization.

22234900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222363 (or 222356 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22234900 is about 4715.3896975754. The cubic root of 22234900 is about 281.1976758629.

The spelling of 22234900 in words is "twenty-two million, two hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222349 444698 889396 1111745 2223490 4446980 5558725 11117450 22234900