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23421216 = 2537213383
BaseRepresentation
bin101100101011…
…0000100100000
31122001220212110
41121112010200
521443434331
62153555320
7403035300
oct131260440
948056773
1023421216
1112247785
127a15b40
134b10710
143179600
1520c9946
hex1656120

23421216 has 144 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 6160896.

The previous prime is 23421173. The next prime is 23421217. The reversal of 23421216 is 61212432.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23421192 and 23421201.

It is not an unprimeable number, because it can be changed into a prime (23421217) 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, 60961 + ... + 61343.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 223421216 is an apocalyptic number.

23421216 is a gapful number since it is divisible by the number (26) 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 23421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

23421216 is an abundant number, since it is smaller than the sum of its proper divisors (53799648).

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

23421216 is a wasteful number, since it uses less digits than its factorization.

23421216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 23421216 is about 4839.5470862468. The cubic root of 23421216 is about 286.1122678545.

Adding to 23421216 its reverse (61212432), we get a palindrome (84633648).

The spelling of 23421216 in words is "twenty-three million, four hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 383 392 416 546 588 624 637 672 728 766 784 1092 1149 1176 1248 1274 1456 1532 1568 1911 2184 2298 2352 2548 2681 2912 3064 3822 4368 4596 4704 4979 5096 5362 6128 7644 8043 8736 9192 9958 10192 10724 12256 14937 15288 16086 18384 18767 19916 20384 21448 29874 30576 32172 34853 36768 37534 39832 42896 56301 59748 61152 64344 69706 75068 79664 85792 104559 112602 119496 128688 139412 150136 159328 209118 225204 238992 243971 257376 278824 300272 418236 450408 477984 487942 557648 600544 731913 836472 900816 975884 1115296 1463826 1672944 1801632 1951768 2927652 3345888 3903536 5855304 7807072 11710608 23421216