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22230700 = 22521311697
BaseRepresentation
bin101010011001…
…1011010101100
31112211102210021
41110303122230
521142340300
62112251524
7356646352
oct124633254
945742707
1022230700
1111604288
127540ba4
1347b487b
142d497d2
151e41d1a
hex15336ac

22230700 has 36 divisors (see below), whose sum is σ = 48637512. Its totient is φ = 8819200.

The previous prime is 22230683. The next prime is 22230701. The reversal of 22230700 is 703222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22230701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12252 + ... + 13948.

It is an arithmetic number, because the mean of its divisors is an integer number (1351042).

Almost surely, 222230700 is an apocalyptic number.

22230700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318756).

22230700 is an abundant number, since it is smaller than the sum of its proper divisors (26406812).

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

22230700 is a wasteful number, since it uses less digits than its factorization.

22230700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 22230700 is about 4714.9443262885. The cubic root of 22230700 is about 281.1799693953.

Adding to 22230700 its reverse (703222), we get a palindrome (22933922).

The spelling of 22230700 in words is "twenty-two million, two hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 1697 2620 3275 3394 6550 6788 8485 13100 16970 33940 42425 84850 169700 222307 444614 889228 1111535 2223070 4446140 5557675 11115350 22230700