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233005149 = 321310611877
BaseRepresentation
bin11011110001101…
…10000001011101
3121020102212222100
431320312001131
5434122131044
635042035313
75526340206
oct1570660135
9536385870
10233005149
1110a586243
1266048b39
1339372090
1422d345ad
15156c8869
hexde3605d

233005149 has 24 divisors (see below), whose sum is σ = 362987352. Its totient is φ = 143176320.

The previous prime is 233005147. The next prime is 233005187. The reversal of 233005149 is 941500332.

It can be written as a sum of positive squares in 4 ways, for example, as 26163225 + 206841924 = 5115^2 + 14382^2 .

It is not a de Polignac number, because 233005149 - 21 = 233005147 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233005141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123199 + ... + 125075.

It is an arithmetic number, because the mean of its divisors is an integer number (15124473).

Almost surely, 2233005149 is an apocalyptic number.

It is an amenable number.

233005149 is a deficient number, since it is larger than the sum of its proper divisors (129982203).

233005149 is a wasteful number, since it uses less digits than its factorization.

233005149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 233005149 is about 15264.5061826448. The cubic root of 233005149 is about 615.3494821100.

The spelling of 233005149 in words is "two hundred thirty-three million, five thousand, one hundred forty-nine".

Divisors: 1 3 9 13 39 117 1061 1877 3183 5631 9549 13793 16893 24401 41379 73203 124137 219609 1991497 5974491 17923473 25889461 77668383 233005149