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22770 = 23251123
BaseRepresentation
bin101100011110010
31011020100
411203302
51212040
6253230
7123246
oct54362
934210
1022770
1116120
1211216
13a497
148426
156b30
hex58f2

22770 has 48 divisors (see below), whose sum is σ = 67392. Its totient is φ = 5280.

The previous prime is 22769. The next prime is 22777. The reversal of 22770 is 7722.

22770 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22777) 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, 979 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

222770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696).

22770 is an abundant number, since it is smaller than the sum of its proper divisors (44622).

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

22770 is a wasteful number, since it uses less digits than its factorization.

22770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 22770 is about 150.8973160795. The cubic root of 22770 is about 28.3435564800.

It can be divided in two parts, 2 and 2770, that added together give a palindrome (2772).

The spelling of 22770 in words is "twenty-two thousand, seven hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770