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21828774 = 23113147227
BaseRepresentation
bin101001101000…
…1010010100110
31112002000110010
41103101102212
521042010044
62055511050
7353353512
oct123212246
945060403
1021828774
111135a310
127388486
1346a3946
142c83142
151db2bb9
hex14d14a6

21828774 has 64 divisors (see below), whose sum is σ = 50429952. Its totient is φ = 6237600.

The previous prime is 21828767. The next prime is 21828791. The reversal of 21828774 is 47782812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96049 + ... + 96275.

It is an arithmetic number, because the mean of its divisors is an integer number (787968).

Almost surely, 221828774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21828774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214976).

21828774 is an abundant number, since it is smaller than the sum of its proper divisors (28601178).

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

21828774 is a wasteful number, since it uses less digits than its factorization.

21828774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 50176, while the sum is 39.

The square root of 21828774 is about 4672.1273527163. The cubic root of 21828774 is about 279.4750965338.

The spelling of 21828774 in words is "twenty-one million, eight hundred twenty-eight thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 227 282 341 454 517 681 682 1023 1034 1362 1457 1551 2046 2497 2914 3102 4371 4994 7037 7491 8742 10669 14074 14982 16027 21111 21338 32007 32054 42222 48081 64014 77407 96162 117359 154814 232221 234718 330739 352077 464442 661478 704154 992217 1984434 3638129 7276258 10914387 21828774