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22797216 = 2532136089
BaseRepresentation
bin101011011110…
…1101110100000
31120220012220100
41112331232200
521314002331
62132342400
7364526121
oct126755640
946805810
1022797216
1111960982
127774a00
1349526a0
143056048
152004ae6
hex15bdba0

22797216 has 72 divisors (see below), whose sum is σ = 69827940. Its totient is φ = 7013376.

The previous prime is 22797193. The next prime is 22797263. The reversal of 22797216 is 61279722.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 2547216 = 4500^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700 + ... + 6788.

Almost surely, 222797216 is an apocalyptic number.

22797216 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 22797216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34913970).

22797216 is an abundant number, since it is smaller than the sum of its proper divisors (47030724).

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

22797216 is a wasteful number, since it uses less digits than its factorization.

22797216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6107 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 22797216 is about 4774.6430233055. The cubic root of 22797216 is about 283.5484459448.

The spelling of 22797216 in words is "twenty-two million, seven hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 6089 12178 18267 24356 36534 48712 54801 73068 79157 97424 109602 146136 158314 194848 219204 237471 292272 316628 438408 474942 584544 633256 712413 876816 949884 1266512 1424826 1753632 1899768 2533024 2849652 3799536 5699304 7599072 11398608 22797216