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22231320 = 2335229809
BaseRepresentation
bin101010011001…
…1100100011000
31112211110122020
41110303210120
521142400240
62112254440
7356651226
oct124634430
945743566
1022231320
11116047a1
127541420
1347b4c37
142d49b16
151e420d0
hex1533918

22231320 has 64 divisors (see below), whose sum is σ = 67068000. Its totient is φ = 5895168.

The previous prime is 22231241. The next prime is 22231331. The reversal of 22231320 is 2313222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22231320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27076 + ... + 27884.

Almost surely, 222231320 is an apocalyptic number.

22231320 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 22231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33534000).

22231320 is an abundant number, since it is smaller than the sum of its proper divisors (44836680).

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

22231320 is a wasteful number, since it uses less digits than its factorization.

22231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22231320 is about 4715.0100742204. The cubic root of 22231320 is about 281.1825833474.

Adding to 22231320 its reverse (2313222), we get a palindrome (24544542).

It can be divided in two parts, 2 and 2231320, that added together give a palindrome (2231322).

The spelling of 22231320 in words is "twenty-two million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 809 916 1145 1374 1618 1832 2290 2427 2748 3236 3435 4045 4580 4854 5496 6472 6870 8090 9160 9708 12135 13740 16180 19416 24270 27480 32360 48540 97080 185261 370522 555783 741044 926305 1111566 1482088 1852610 2223132 2778915 3705220 4446264 5557830 7410440 11115660 22231320