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28422216 = 23323747227
BaseRepresentation
bin110110001101…
…1000001001000
31222110222221200
41230123001020
524234002331
62453104200
7463404414
oct154330110
958428850
1028422216
1115053039
129628060
135b71aa4
143abbd44
1527665e6
hex1b1b048

28422216 has 96 divisors (see below), whose sum is σ = 81095040. Its totient is φ = 8982144.

The previous prime is 28422203. The next prime is 28422217. The reversal of 28422216 is 61222482.

It is a happy number.

28422216 is a `hidden beast` number, since 28 + 422 + 216 = 666.

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 28422216.

It is not an unprimeable number, because it can be changed into a prime (28422217) 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, 125095 + ... + 125321.

It is an arithmetic number, because the mean of its divisors is an integer number (844740).

Almost surely, 228422216 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 28422216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40547520).

28422216 is an abundant number, since it is smaller than the sum of its proper divisors (52672824).

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

28422216 is a wasteful number, since it uses less digits than its factorization.

28422216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 28422216 is about 5331.2490093786. The cubic root of 28422216 is about 305.1775943224.

Adding to 28422216 its reverse (61222482), we get a palindrome (89644698).

It can be divided in two parts, 284 and 22216, that added together give a square (22500 = 1502).

The spelling of 28422216 in words is "twenty-eight million, four hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 47 72 74 94 111 141 148 188 222 227 282 296 333 376 423 444 454 564 666 681 846 888 908 1128 1332 1362 1692 1739 1816 2043 2664 2724 3384 3478 4086 5217 5448 6956 8172 8399 10434 10669 13912 15651 16344 16798 20868 21338 25197 31302 32007 33596 41736 42676 50394 62604 64014 67192 75591 85352 96021 100788 125208 128028 151182 192042 201576 256056 302364 384084 394753 604728 768168 789506 1184259 1579012 2368518 3158024 3552777 4737036 7105554 9474072 14211108 28422216