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21422688 = 253771449
BaseRepresentation
bin101000110111…
…0001001100000
31111022101101220
41101232021200
520441011223
62043055040
7350042550
oct121561140
944271356
1021422688
1111102201
127211480
134590b61
142bb9160
151d326e3
hex146e260

21422688 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 6021120.

The previous prime is 21422641. The next prime is 21422689. The reversal of 21422688 is 88622412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×214226882 = 917863122290688, which contains 22 as substring.

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 (21422689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47488 + ... + 47936.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 221422688 is an apocalyptic number.

21422688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

21422688 is an abundant number, since it is smaller than the sum of its proper divisors (43895712).

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

21422688 is a wasteful number, since it uses less digits than its factorization.

21422688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 21422688 is about 4628.4649723207. The cubic root of 21422688 is about 277.7311895319.

The spelling of 21422688 in words is "twenty-one million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 449 497 568 672 852 898 994 1136 1347 1491 1704 1796 1988 2272 2694 2982 3143 3408 3592 3976 5388 5964 6286 6816 7184 7952 9429 10776 11928 12572 14368 15904 18858 21552 23856 25144 31879 37716 43104 47712 50288 63758 75432 95637 100576 127516 150864 191274 223153 255032 301728 382548 446306 510064 669459 765096 892612 1020128 1338918 1530192 1785224 2677836 3060384 3570448 5355672 7140896 10711344 21422688