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22745000 = 23544549
BaseRepresentation
bin101011011000…
…0111110101000
31120210120021102
41112300332220
521310320000
62131300532
7364220645
oct126607650
946716242
1022745000
1111925723
12774a748
1349349a5
143040dcc
151ee43d5
hex15b0fa8

22745000 has 40 divisors (see below), whose sum is σ = 53303250. Its totient is φ = 9096000.

The previous prime is 22744991. The next prime is 22745027. The reversal of 22745000 is 54722.

It can be written as a sum of positive squares in 5 ways, for example, as 1196836 + 21548164 = 1094^2 + 4642^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2726 + ... + 7274.

Almost surely, 222745000 is an apocalyptic number.

22745000 is a gapful number since it is divisible by the number (20) 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 22745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26651625).

22745000 is an abundant number, since it is smaller than the sum of its proper divisors (30558250).

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

22745000 is an equidigital number, since it uses as much as digits as its factorization.

22745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 22745000 is about 4769.1718358642. The cubic root of 22745000 is about 283.3317954549.

Adding to 22745000 its reverse (54722), we get a palindrome (22799722).

The spelling of 22745000 in words is "twenty-two million, seven hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 4549 5000 9098 18196 22745 36392 45490 90980 113725 181960 227450 454900 568625 909800 1137250 2274500 2843125 4549000 5686250 11372500 22745000