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331145325 = 32527533967
BaseRepresentation
bin10011101111001…
…110000001101101
3212002002220222200
4103233032001231
51134233122300
652505332113
711130455160
oct2357160155
9762086880
10331145325
1115aa17425
1292a97039
13537b41a4
1431d9dad7
151e112200
hex13bce06d

331145325 has 72 divisors (see below), whose sum is σ = 690812928. Its totient is φ = 148487040.

The previous prime is 331145323. The next prime is 331145333. The reversal of 331145325 is 523541133.

331145325 is a `hidden beast` number, since 331 + 1 + 4 + 5 + 325 = 666.

It is not a de Polignac number, because 331145325 - 21 = 331145323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331145323) 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, 81492 + ... + 85458.

It is an arithmetic number, because the mean of its divisors is an integer number (9594624).

Almost surely, 2331145325 is an apocalyptic number.

331145325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331145325 is an abundant number, since it is smaller than the sum of its proper divisors (359667603).

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

331145325 is a wasteful number, since it uses less digits than its factorization.

331145325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4035 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 331145325 is about 18197.3988525833. The cubic root of 331145325 is about 691.8408625622.

Adding to 331145325 its reverse (523541133), we get a palindrome (854686458).

The spelling of 331145325 in words is "three hundred thirty-one million, one hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 159 175 225 265 315 371 477 525 795 1113 1325 1575 1855 2385 3339 3967 3975 5565 9275 11901 11925 16695 19835 27769 27825 35703 59505 83307 83475 99175 138845 178515 210251 249921 297525 416535 630753 694225 892575 1051255 1249605 1471757 1892259 2082675 3153765 4415271 5256275 6248025 7358785 9461295 13245813 15768825 22076355 36793925 47306475 66229065 110381775 331145325