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21992352 = 2531072141
BaseRepresentation
bin101001111100…
…1001110100000
31112101022211120
41103321032200
521112223402
62103212240
7354634434
oct123711640
945338746
1021992352
11114611a8
127447080
134730235
142cc69c4
151de63bc
hex14f93a0

21992352 has 48 divisors (see below), whose sum is σ = 58296672. Its totient is φ = 7258880.

The previous prime is 21992351. The next prime is 21992357. The reversal of 21992352 is 25329912.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (21992351) 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, 9202 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (1214514).

Almost surely, 221992352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29148336).

21992352 is an abundant number, since it is smaller than the sum of its proper divisors (36304320).

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

21992352 is a wasteful number, since it uses less digits than its factorization.

21992352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 21992352 is about 4689.6004094166. The cubic root of 21992352 is about 280.1714596101.

The spelling of 21992352 in words is "twenty-one million, nine hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2141 2568 3424 4282 5136 6423 8564 10272 12846 17128 25692 34256 51384 68512 102768 205536 229087 458174 687261 916348 1374522 1832696 2749044 3665392 5498088 7330784 10996176 21992352