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23003325 = 335253643
BaseRepresentation
bin101011111000…
…0000010111101
31121021200122000
41113300002331
521342101300
62141012513
7366345042
oct127600275
947250560
1023003325
1111a91814
127854139
1349c5447
1430ab1c9
152045c00
hex15f00bd

23003325 has 48 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 12018240.

The previous prime is 23003303. The next prime is 23003327. The reversal of 23003325 is 52330032.

It is not a de Polignac number, because 23003325 - 221 = 20906173 is a prime.

It is a super-2 number, since 2×230033252 = 1058305922111250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23003298 and 23003307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003327) 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 47 ways as a sum of consecutive naturals, for example, 35454 + ... + 36096.

It is an arithmetic number, because the mean of its divisors is an integer number (898380).

Almost surely, 223003325 is an apocalyptic number.

23003325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23003325 is a deficient number, since it is larger than the sum of its proper divisors (20118915).

23003325 is a wasteful number, since it uses less digits than its factorization.

23003325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 23003325 is about 4796.1781659984. The cubic root of 23003325 is about 284.4004014664.

Adding to 23003325 its reverse (52330032), we get a palindrome (75333357).

It can be divided in two parts, 2300 and 3325, that added together give a square (5625 = 752).

The spelling of 23003325 in words is "twenty-three million, three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 135 159 225 265 477 643 675 795 1325 1431 1929 2385 3215 3975 5787 7155 9645 11925 16075 17361 28935 34079 35775 48225 86805 102237 144675 170395 306711 434025 511185 851975 920133 1533555 2555925 4600665 7667775 23003325