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21996900 = 2233528147
BaseRepresentation
bin101001111101…
…0010101100100
31112101120002000
41103322111210
521112400100
62103245300
7354653622
oct123722544
945346060
1021996900
1111464662
127449830
134732323
142cc8512
151de7900
hex14fa564

21996900 has 72 divisors (see below), whose sum is σ = 70724640. Its totient is φ = 5865120.

The previous prime is 21996899. The next prime is 21996913. The reversal of 21996900 is 969912.

It is a super-2 number, since 2×219969002 = 967727219220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1374 + ... + 6773.

Almost surely, 221996900 is an apocalyptic number.

21996900 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 21996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35362320).

21996900 is an abundant number, since it is smaller than the sum of its proper divisors (48727740).

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

21996900 is a wasteful number, since it uses less digits than its factorization.

21996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 21996900 is about 4690.0852870710. The cubic root of 21996900 is about 280.1907713535.

The spelling of 21996900 in words is "twenty-one million, nine hundred ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 8147 16294 24441 32588 40735 48882 73323 81470 97764 122205 146646 162940 203675 219969 244410 293292 366615 407350 439938 488820 611025 733230 814700 879876 1099845 1222050 1466460 1833075 2199690 2444100 3666150 4399380 5499225 7332300 10998450 21996900