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21233408 = 28717241
BaseRepresentation
bin101000011111…
…1111100000000
31110221202202112
41100333330000
520413432113
62035034452
7345323660
oct120777400
943852675
1021233408
1110a92a79
12713ba28
134525961
142b6a1a0
151ce65a8
hex143ff00

21233408 has 108 divisors (see below), whose sum is σ = 52710672. Its totient is φ = 8355840.

The previous prime is 21233389. The next prime is 21233411. The reversal of 21233408 is 80433212.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517868 + ... + 517908.

Almost surely, 221233408 is an apocalyptic number.

21233408 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 21233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26355336).

21233408 is an abundant number, since it is smaller than the sum of its proper divisors (31477264).

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

21233408 is an equidigital number, since it uses as much as digits as its factorization.

21233408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 21233408 is about 4607.9722221385. The cubic root of 21233408 is about 276.9108046477.

The spelling of 21233408 in words is "twenty-one million, two hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 128 136 164 224 238 256 272 287 289 328 448 476 544 574 578 656 697 896 952 1088 1148 1156 1312 1394 1792 1904 2023 2176 2296 2312 2624 2788 3808 4046 4352 4592 4624 4879 5248 5576 7616 8092 9184 9248 9758 10496 11152 11849 15232 16184 18368 18496 19516 22304 23698 30464 32368 36736 36992 39032 44608 47396 64736 73472 73984 78064 82943 89216 94792 129472 156128 165886 178432 189584 258944 312256 331772 379168 517888 624512 663544 758336 1249024 1327088 1516672 2654176 3033344 5308352 10616704 21233408