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21993888 = 2537231423
BaseRepresentation
bin101001111100…
…1100110100000
31112101101221110
41103321212200
521112301023
62103223320
7354642060
oct123714640
945341843
1021993888
1111462374
127447b40
134730b47
142cc73a0
151de6a93
hex14f99a0

21993888 has 96 divisors (see below), whose sum is σ = 68898816. Its totient is φ = 6006528.

The previous prime is 21993871. The next prime is 21993893. The reversal of 21993888 is 88839912.

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 2×219938882 = 967462218713088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14745 + ... + 16167.

It is an arithmetic number, because the mean of its divisors is an integer number (717696).

Almost surely, 221993888 is an apocalyptic number.

21993888 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 21993888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34449408).

21993888 is an abundant number, since it is smaller than the sum of its proper divisors (46904928).

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

21993888 is a wasteful number, since it uses less digits than its factorization.

21993888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1458 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 21993888 is about 4689.7641731754. The cubic root of 21993888 is about 280.1779820798.

The spelling of 21993888 in words is "twenty-one million, nine hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1423 1932 2208 2576 2846 3864 4269 5152 5692 7728 8538 9961 11384 15456 17076 19922 22768 29883 32729 34152 39844 45536 59766 65458 68304 79688 98187 119532 130916 136608 159376 196374 229103 239064 261832 318752 392748 458206 478128 523664 687309 785496 916412 956256 1047328 1374618 1570992 1832824 2749236 3141984 3665648 5498472 7331296 10996944 21993888