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22770328 = 237795147
BaseRepresentation
bin101011011011…
…1001010011000
31120211212000111
41112313022120
521312122303
62132014104
7364354540
oct126671230
946755014
1022770328
1111942759
127761334
134943389
14304a320
151eebb6d
hex15b7298

22770328 has 32 divisors (see below), whose sum is σ = 49420800. Its totient is φ = 9633312.

The previous prime is 22770323. The next prime is 22770331. The reversal of 22770328 is 82307722.

It is a self number, because there is not a number n which added to its sum of digits gives 22770328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22770323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 6997.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 222770328 is an apocalyptic number.

22770328 is a gapful number since it is divisible by the number (28) 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 22770328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710400).

22770328 is an abundant number, since it is smaller than the sum of its proper divisors (26650472).

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

22770328 is a wasteful number, since it uses less digits than its factorization.

22770328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 22770328 is about 4771.8264846912. The cubic root of 22770328 is about 283.4369257493.

The spelling of 22770328 in words is "twenty-two million, seven hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 4424 5147 10294 20588 36029 41176 72058 144116 288232 406613 813226 1626452 2846291 3252904 5692582 11385164 22770328