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45333225 = 32527107269
BaseRepresentation
bin1010110011101…
…1101011101001
310011022011111100
42230323223221
543101130400
64255352013
71060216560
oct254735351
9104264440
1045333225
1123653583
1213222609
1395131c2
146040bd7
153ea7100
hex2b3bae9

45333225 has 72 divisors (see below), whose sum is σ = 94011840. Its totient is φ = 20453760.

The previous prime is 45333217. The next prime is 45333229. The reversal of 45333225 is 52233354.

It is not a de Polignac number, because 45333225 - 23 = 45333217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45333229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168391 + ... + 168659.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 245333225 is an apocalyptic number.

45333225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45333225 is an abundant number, since it is smaller than the sum of its proper divisors (48678615).

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

45333225 is a wasteful number, since it uses less digits than its factorization.

45333225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 45333225 is about 6732.9952472878. The cubic root of 45333225 is about 356.5651320536.

Adding to 45333225 its reverse (52233354), we get a palindrome (97566579).

The spelling of 45333225 in words is "forty-five million, three hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 107 175 225 269 315 321 525 535 749 807 963 1345 1575 1605 1883 2247 2421 2675 3745 4035 4815 5649 6725 6741 8025 9415 11235 12105 16947 18725 20175 24075 28245 28783 33705 47075 56175 60525 84735 86349 141225 143915 168525 201481 259047 423675 431745 604443 719575 1007405 1295235 1813329 2158725 3022215 5037025 6476175 9066645 15111075 45333225