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21946900 = 22521911551
BaseRepresentation
bin101001110111…
…0001000010100
31112022000111011
41103232020110
521104300100
62102222004
7354355063
oct123561024
945260434
1021946900
1111430038
127424904
134715641
142cb41da
151dd7bba
hex14ee214

21946900 has 36 divisors (see below), whose sum is σ = 50135680. Its totient is φ = 8316000.

The previous prime is 21946891. The next prime is 21946907. The reversal of 21946900 is 964912.

It is a happy number.

It is a super-2 number, since 2×219469002 = 963332839220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21946907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3876 + ... + 7675.

Almost surely, 221946900 is an apocalyptic number.

21946900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21946900 is an abundant number, since it is smaller than the sum of its proper divisors (28188780).

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

21946900 is a wasteful number, since it uses less digits than its factorization.

21946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584 (or 11577 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 21946900 is about 4684.7518610915. The cubic root of 21946900 is about 279.9783146471.

The spelling of 21946900 in words is "twenty-one million, nine hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 11551 23102 46204 57755 115510 219469 231020 288775 438938 577550 877876 1097345 1155100 2194690 4389380 5486725 10973450 21946900