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23005540 = 22561109173
BaseRepresentation
bin101011111000…
…0100101100100
31121021210200001
41113300211210
521342134130
62141031044
7366354355
oct127604544
947253601
1023005540
1111a93448
127855484
1349c645c
1430abd2c
1520466ca
hex15f0964

23005540 has 48 divisors (see below), whose sum is σ = 49840560. Its totient is φ = 8916480.

The previous prime is 23005537. The next prime is 23005547. The reversal of 23005540 is 4550032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 22982436 = 152^2 + 4794^2 .

It is not an unprimeable number, because it can be changed into a prime (23005547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132894 + ... + 133066.

It is an arithmetic number, because the mean of its divisors is an integer number (1038345).

Almost surely, 223005540 is an apocalyptic number.

23005540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23005540 is an abundant number, since it is smaller than the sum of its proper divisors (26835020).

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

23005540 is a wasteful number, since it uses less digits than its factorization.

23005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 23005540 is about 4796.4090734632. The cubic root of 23005540 is about 284.4095295189.

Adding to 23005540 its reverse (4550032), we get a palindrome (27555572).

The spelling of 23005540 in words is "twenty-three million, five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 109 122 173 218 244 305 346 436 545 610 692 865 1090 1220 1730 2180 3460 6649 10553 13298 18857 21106 26596 33245 37714 42212 52765 66490 75428 94285 105530 132980 188570 211060 377140 1150277 2300554 4601108 5751385 11502770 23005540