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33140997 = 32192941163
BaseRepresentation
bin111111001101…
…1000100000101
32022100201220100
41332123010011
531441002442
63142154313
7551456661
oct176330405
968321810
1033140997
111778635a
12b122999
136b34876
1445898a1
152d9984c
hex1f9b105

33140997 has 48 divisors (see below), whose sum is σ = 53726400. Its totient is φ = 19595520.

The previous prime is 33140993. The next prime is 33141001. The reversal of 33140997 is 79904133.

It is an interprime number because it is at equal distance from previous prime (33140993) and next prime (33141001).

It is not a de Polignac number, because 33140997 - 22 = 33140993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140993) 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, 203238 + ... + 203400.

It is an arithmetic number, because the mean of its divisors is an integer number (1119300).

Almost surely, 233140997 is an apocalyptic number.

It is an amenable number.

33140997 is a deficient number, since it is larger than the sum of its proper divisors (20585403).

33140997 is a wasteful number, since it uses less digits than its factorization.

33140997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 33140997 is about 5756.8217794196. The cubic root of 33140997 is about 321.2096048568.

It can be divided in two parts, 331 and 40997, that added together give a triangular number (41328 = T287).

The spelling of 33140997 in words is "thirty-three million, one hundred forty thousand, nine hundred ninety-seven".

Divisors: 1 3 9 19 29 41 57 87 123 163 171 261 369 489 551 779 1189 1467 1653 2337 3097 3567 4727 4959 6683 7011 9291 10701 14181 20049 22591 27873 42543 60147 67773 89813 126977 193807 203319 269439 380931 581421 808317 1142793 1744263 3682333 11046999 33140997