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21994875 = 33537319
BaseRepresentation
bin101001111100…
…1110101111011
31112101110022000
41103321311323
521112314000
62103232043
7354645000
oct123716573
945343260
1021994875
1111463091
127448623
134731426
142cc78a7
151de7000
hex14f9d7b

21994875 has 128 divisors (see below), whose sum is σ = 49920000. Its totient is φ = 9525600.

The previous prime is 21994867. The next prime is 21994897. The reversal of 21994875 is 57849912.

It is not a de Polignac number, because 21994875 - 23 = 21994867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 21994875 = 353 + 2803 = 993 + 2763.

Its product of digits (181440) is a multiple of the sum of its prime factors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 21994875.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157616 + ... + 1157634.

It is an arithmetic number, because the mean of its divisors is an integer number (390000).

Almost surely, 221994875 is an apocalyptic number.

21994875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21994875 is an abundant number, since it is smaller than the sum of its proper divisors (27925125).

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

21994875 is an equidigital number, since it uses as much as digits as its factorization.

21994875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 21994875 is about 4689.8694011667. The cubic root of 21994875 is about 280.1821731158.

The spelling of 21994875 in words is "twenty-one million, nine hundred ninety-four thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 49 57 63 75 95 105 125 133 135 147 171 175 189 225 245 285 315 343 375 399 441 475 513 525 665 675 735 855 875 931 945 1029 1125 1197 1225 1323 1425 1575 1715 1995 2205 2375 2565 2625 2793 3087 3325 3375 3591 3675 4275 4655 4725 5145 5985 6125 6517 6615 7125 7875 8379 8575 9261 9975 11025 12825 13965 15435 16625 17955 18375 19551 21375 23275 23625 25137 25725 29925 32585 33075 41895 42875 46305 49875 55125 58653 64125 69825 77175 89775 97755 116375 125685 128625 149625 162925 165375 175959 209475 231525 293265 349125 385875 448875 488775 628425 814625 879795 1047375 1157625 1466325 2443875 3142125 4398975 7331625 21994875