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16221816 = 23331353109
BaseRepresentation
bin111101111000…
…011001111000
31010112011011000
4331320121320
513123044231
61335405000
7254611632
oct75703170
933464130
1016221816
11917a766
125523760
13348c810
142223a52
1516566e6
hexf78678

16221816 has 128 divisors (see below), whose sum is σ = 49896000. Its totient is φ = 4852224.

The previous prime is 16221761. The next prime is 16221823. The reversal of 16221816 is 61812261.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 a self number, because there is not a number n which added to its sum of digits gives 16221816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148770 + ... + 148878.

Almost surely, 216221816 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 16221816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948000).

16221816 is an abundant number, since it is smaller than the sum of its proper divisors (33674184).

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

16221816 is a wasteful number, since it uses less digits than its factorization.

16221816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

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

The square root of 16221816 is about 4027.6315620970. The cubic root of 16221816 is about 253.1433309084.

The spelling of 16221816 in words is "sixteen million, two hundred twenty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 109 117 156 159 212 216 218 234 312 318 327 351 424 436 468 477 636 654 689 702 872 936 954 981 1272 1308 1378 1404 1417 1431 1908 1962 2067 2616 2756 2808 2834 2862 2943 3816 3924 4134 4251 5512 5668 5724 5777 5886 6201 7848 8268 8502 11336 11448 11554 11772 12402 12753 16536 17004 17331 18603 23108 23544 24804 25506 34008 34662 37206 38259 46216 49608 51012 51993 69324 74412 75101 76518 102024 103986 138648 148824 150202 153036 155979 207972 225303 300404 306072 311958 415944 450606 600808 623916 675909 901212 1247832 1351818 1802424 2027727 2703636 4055454 5407272 8110908 16221816