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21229128 = 23341812
BaseRepresentation
bin101000011111…
…0111001001000
31110221112220000
41100332321020
520413313003
62035003000
7345305334
oct120767110
943845800
1021229128
1110a8a838
127139460
134523a1b
142b687c4
151ce51a3
hex143ee48

21229128 has 60 divisors (see below), whose sum is σ = 59791545. Its totient is φ = 7037280.

The previous prime is 21229111. The next prime is 21229139. The reversal of 21229128 is 82192212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 8398404 = 3582^2 + 2898^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3258.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 117198 + ... + 117378.

Almost surely, 221229128 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 21229128

21229128 is an abundant number, since it is smaller than the sum of its proper divisors (38562417).

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

21229128 is an equidigital number, since it uses as much as digits as its factorization.

21229128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 186 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 21229128 is about 4607.5077862115. The cubic root of 21229128 is about 276.8921978389.

Multiplying 21229128 by its product of digits (1152), we get a square (24455955456 = 1563842).

The spelling of 21229128 in words is "twenty-one million, two hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 324 362 543 648 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 13032 14661 19548 29322 32761 39096 58644 65522 98283 117288 131044 196566 262088 294849 393132 589698 786264 884547 1179396 1769094 2358792 2653641 3538188 5307282 7076376 10614564 21229128