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21402216 = 23321161443
BaseRepresentation
bin101000110100…
…1001001101000
31111021100022200
41101221021220
520434332331
62042420200
7346626063
oct121511150
944240280
1021402216
1111098890
127201660
134584744
142bb18da
151d2b5e6
hex1469268

21402216 has 96 divisors (see below), whose sum is σ = 64415520. Its totient is φ = 6364800.

The previous prime is 21402209. The next prime is 21402217. The reversal of 21402216 is 61220412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21402217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48091 + ... + 48533.

It is an arithmetic number, because the mean of its divisors is an integer number (670995).

Almost surely, 221402216 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 21402216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32207760).

21402216 is an abundant number, since it is smaller than the sum of its proper divisors (43013304).

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

21402216 is a wasteful number, since it uses less digits than its factorization.

21402216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21402216 is about 4626.2529113744. The cubic root of 21402216 is about 277.6426926230.

Adding to 21402216 its reverse (61220412), we get a palindrome (82622628).

It can be divided in two parts, 2140 and 2216, that added together give a square (4356 = 662).

The spelling of 21402216 in words is "twenty-one million, four hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 61 66 72 88 99 122 132 183 198 244 264 366 396 443 488 549 671 732 792 886 1098 1329 1342 1464 1772 2013 2196 2658 2684 3544 3987 4026 4392 4873 5316 5368 6039 7974 8052 9746 10632 12078 14619 15948 16104 19492 24156 27023 29238 31896 38984 43857 48312 54046 58476 81069 87714 108092 116952 162138 175428 216184 243207 297253 324276 350856 486414 594506 648552 891759 972828 1189012 1783518 1945656 2378024 2675277 3567036 5350554 7134072 10701108 21402216