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9226368 = 27328009
BaseRepresentation
bin100011001100…
…100010000000
3122100202012100
4203030202000
54330220433
6525430400
7141265014
oct43144200
918322170
109226368
1152319a8
12310b400
131bb06b8
141322544
15c23b13
hex8cc880

9226368 has 48 divisors (see below), whose sum is σ = 26553150. Its totient is φ = 3075072.

The previous prime is 9226367. The next prime is 9226387. The reversal of 9226368 is 8636229.

It can be written as a sum of positive squares in only one way, i.e., 7354944 + 1871424 = 2712^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is a d-powerful number, because it can be written as 93 + 219 + 223 + 62 + 3 + 67 + 85 .

It is not an unprimeable number, because it can be changed into a prime (9226367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2853 + ... + 5156.

Almost surely, 29226368 is an apocalyptic number.

It is an amenable number.

9226368 is an abundant number, since it is smaller than the sum of its proper divisors (17326782).

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

9226368 is a wasteful number, since it uses less digits than its factorization.

9226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8014 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9226368 is about 3037.4937036972. The cubic root of 9226368 is about 209.7379043136.

The spelling of 9226368 in words is "nine million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8009 16018 24027 32036 48054 64072 72081 96108 128144 144162 192216 256288 288324 384432 512576 576648 768864 1025152 1153296 1537728 2306592 3075456 4613184 9226368