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21828888 = 23321132683
BaseRepresentation
bin101001101000…
…1010100011000
31112002000121100
41103101110120
521042011023
62055511400
7353354034
oct123212430
945060540
1021828888
111135a404
127388560
1346a3a03
142c831c4
151db2c43
hex14d1518

21828888 has 48 divisors (see below), whose sum is σ = 59665320. Its totient is φ = 7209216.

The previous prime is 21828881. The next prime is 21828899. The reversal of 21828888 is 88882812.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21828881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6795 + ... + 9477.

Almost surely, 221828888 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 21828888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29832660).

21828888 is an abundant number, since it is smaller than the sum of its proper divisors (37836432).

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

21828888 is a wasteful number, since it uses less digits than its factorization.

21828888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2801 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The square root of 21828888 is about 4672.1395527103. The cubic root of 21828888 is about 279.4755830493.

The spelling of 21828888 in words is "twenty-one million, eight hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2683 2712 4068 5366 8049 8136 10732 16098 21464 24147 32196 48294 64392 96588 193176 303179 606358 909537 1212716 1819074 2425432 2728611 3638148 5457222 7276296 10914444 21828888