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21992240 = 245475849
BaseRepresentation
bin101001111100…
…1001100110000
31112101022200102
41103321030300
521112222430
62103211532
7354634214
oct123711460
945338612
1021992240
1111461106
127446ba8
13473017a
142cc6944
151de6345
hex14f9330

21992240 has 40 divisors (see below), whose sum is σ = 52228800. Its totient is φ = 8608256.

The previous prime is 21992239. The next prime is 21992249. The reversal of 21992240 is 4229912.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (21992249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836 + ... + 6684.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 221992240 is an apocalyptic number.

21992240 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 21992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114400).

21992240 is an abundant number, since it is smaller than the sum of its proper divisors (30236560).

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

21992240 is a wasteful number, since it uses less digits than its factorization.

21992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 21992240 is about 4689.5884680854. The cubic root of 21992240 is about 280.1709840015.

The spelling of 21992240 in words is "twenty-one million, nine hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 5849 11698 23396 29245 46792 58490 93584 116980 233960 274903 467920 549806 1099612 1374515 2199224 2749030 4398448 5498060 10996120 21992240