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21808224 = 253343587
BaseRepresentation
bin101001100110…
…0010001100000
31112000222021000
41103030101200
521040330344
62055232000
7353236554
oct123142140
945028230
1021808224
1111345929
127378600
134697499
142c79864
151daba69
hex14cc460

21808224 has 96 divisors (see below), whose sum is σ = 65197440. Its totient is φ = 7088256.

The previous prime is 21808217. The next prime is 21808231. The reversal of 21808224 is 42280812.

It is an interprime number because it is at equal distance from previous prime (21808217) and next prime (21808231).

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

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

It is a congruent number.

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, 36859 + ... + 37445.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 221808224 is an apocalyptic number.

21808224 is a gapful number since it is divisible by the number (24) 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 21808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598720).

21808224 is an abundant number, since it is smaller than the sum of its proper divisors (43389216).

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

21808224 is a wasteful number, since it uses less digits than its factorization.

21808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21808224 is about 4669.9276225655. The cubic root of 21808224 is about 279.3873680395.

It can be divided in two parts, 2180 and 8224, that added together give a square (10404 = 1022).

The spelling of 21808224 in words is "twenty-one million, eight hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 587 688 774 864 1032 1161 1174 1376 1548 1761 2064 2322 2348 3096 3522 4128 4644 4696 5283 6192 7044 9288 9392 10566 12384 14088 15849 18576 18784 21132 25241 28176 31698 37152 42264 50482 56352 63396 75723 84528 100964 126792 151446 169056 201928 227169 253584 302892 403856 454338 507168 605784 681507 807712 908676 1211568 1363014 1817352 2423136 2726028 3634704 5452056 7269408 10904112 21808224