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22130400 = 253529221
BaseRepresentation
bin101010001101…
…0111011100000
31112122100012110
41110122323200
521131133100
62110155320
7356051055
oct124327340
945570173
1022130400
1111545996
1274b2b40
13477b016
142d2102c
151e22250
hex151aee0

22130400 has 72 divisors (see below), whose sum is σ = 72042264. Its totient is φ = 5900800.

The previous prime is 22130387. The next prime is 22130401. The reversal of 22130400 is 403122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2211 + ... + 7010.

It is an arithmetic number, because the mean of its divisors is an integer number (1000587).

Almost surely, 222130400 is an apocalyptic number.

22130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22130400 is an abundant number, since it is smaller than the sum of its proper divisors (49911864).

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

22130400 is a wasteful number, since it uses less digits than its factorization.

22130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22130400 is about 4704.2959090601. The cubic root of 22130400 is about 280.7564578876.

Adding to 22130400 its reverse (403122), we get a palindrome (22533522).

The spelling of 22130400 in words is "twenty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 9221 18442 27663 36884 46105 55326 73768 92210 110652 138315 147536 184420 221304 230525 276630 295072 368840 442608 461050 553260 691575 737680 885216 922100 1106520 1383150 1475360 1844200 2213040 2766300 3688400 4426080 5532600 7376800 11065200 22130400