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22120200 = 23325212289
BaseRepresentation
bin101010001100…
…0011100001000
31112121211012200
41110120130020
521130321300
62110040200
7356006244
oct124303410
945554180
1022120200
1111539263
1274a9060
13477649b
142d1b424
151e1e200
hex1518708

22120200 has 72 divisors (see below), whose sum is σ = 74293050. Its totient is φ = 5898240.

The previous prime is 22120193. The next prime is 22120223. The reversal of 22120200 is 202122.

It can be written as a sum of positive squares in 3 ways, for example, as 19236996 + 2883204 = 4386^2 + 1698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4345 + ... + 7944.

Almost surely, 222120200 is an apocalyptic number.

22120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120200 is an abundant number, since it is smaller than the sum of its proper divisors (52172850).

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

22120200 is a wasteful number, since it uses less digits than its factorization.

22120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22120200 is about 4703.2116686367. The cubic root of 22120200 is about 280.7133172914.

Adding to 22120200 its reverse (202122), we get a palindrome (22322322).

The spelling of 22120200 in words is "twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12289 24578 36867 49156 61445 73734 98312 110601 122890 147468 184335 221202 245780 294936 307225 368670 442404 491560 553005 614450 737340 884808 921675 1106010 1228900 1474680 1843350 2212020 2457800 2765025 3686700 4424040 5530050 7373400 11060100 22120200