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19922000 = 245371423
BaseRepresentation
bin100101111111…
…1110001010000
31101111010211212
41023333301100
520100001000
61550555252
7331222430
oct113776120
941433755
1019922000
111027776a
126808b28
134186a87
1429082c0
151b37c35
hex12ffc50

19922000 has 80 divisors (see below), whose sum is σ = 55091712. Its totient is φ = 6825600.

The previous prime is 19921997. The next prime is 19922033. The reversal of 19922000 is 22991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13289 + ... + 14711.

Almost surely, 219922000 is an apocalyptic number.

19922000 is a gapful number since it is divisible by the number (10) 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 19922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27545856).

19922000 is an abundant number, since it is smaller than the sum of its proper divisors (35169712).

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

19922000 is a wasteful number, since it uses less digits than its factorization.

19922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 19922000 is about 4463.4067706182. The cubic root of 19922000 is about 271.0884276362.

Adding to 19922000 its reverse (22991), we get a palindrome (19944991).

The spelling of 19922000 in words is "nineteen million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1423 1750 2000 2800 2846 3500 5692 7000 7115 9961 11384 14000 14230 19922 22768 28460 35575 39844 49805 56920 71150 79688 99610 113840 142300 159376 177875 199220 249025 284600 355750 398440 498050 569200 711500 796880 996100 1245125 1423000 1992200 2490250 2846000 3984400 4980500 9961000 19922000