Search a number
-
+
21893814 = 235192371
BaseRepresentation
bin101001110000…
…1001010110110
31112012022200000
41103201022312
521101100224
62101132130
7354044235
oct123411266
945168600
1021893814
11113a4168
1273ba046
1346c7427
142c9cb1c
151dc70c9
hex14e12b6

21893814 has 48 divisors (see below), whose sum is σ = 51804480. Its totient is φ = 6910920.

The previous prime is 21893813. The next prime is 21893827. The reversal of 21893814 is 41839812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21893813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8049 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (1079260).

Almost surely, 221893814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21893814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25902240).

21893814 is an abundant number, since it is smaller than the sum of its proper divisors (29910666).

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

21893814 is a wasteful number, since it uses less digits than its factorization.

21893814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2395 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 21893814 is about 4679.0826023912. The cubic root of 21893814 is about 279.7523916448.

The spelling of 21893814 in words is "twenty-one million, eight hundred ninety-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 2371 3078 4617 4742 7113 9234 14226 21339 42678 45049 64017 90098 128034 135147 192051 270294 384102 405441 576153 810882 1152306 1216323 2432646 3648969 7297938 10946907 21893814