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233045505540332 = 226173137421226843
BaseRepresentation
bin110100111111010000100010…
…100100110000000011101100
31010120010221011222022001112022
4310333100202210300003230
5221021204143404242312
62143351343253525312
7100041660606666662
oct6477204244600354
91116127158261468
10233045505540332
116828a053437051
1222179944343838
13a006134ab3c44
144179669730c32
151be20ad5aa172
hexd3f4229300ec

233045505540332 has 96 divisors (see below), whose sum is σ = 424268006401344. Its totient is φ = 111950337945600.

The previous prime is 233045505540301. The next prime is 233045505540343.

It is a happy number.

233045505540332 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027229303 + ... + 1027456145.

It is an arithmetic number, because the mean of its divisors is an integer number (4419458400014).

Almost surely, 2233045505540332 is an apocalyptic number.

It is an amenable number.

233045505540332 is a deficient number, since it is larger than the sum of its proper divisors (191222500861012).

233045505540332 is a wasteful number, since it uses less digits than its factorization.

233045505540332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227539 (or 227537 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 44.

It can be divided in two parts, 23304550 and 5540332, that added together give a palindrome (28844882).

The spelling of 233045505540332 in words is "two hundred thirty-three trillion, forty-five billion, five hundred five million, five hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 4 61 73 122 137 146 244 274 292 421 548 842 1684 4453 8357 8906 10001 16714 17812 20002 25681 30733 33428 40004 51362 57677 61466 102724 115354 122932 226843 230708 453686 610061 907372 1220122 1874713 2440244 3518297 3749426 4210421 7036594 7498852 8420842 13837423 14073188 16559539 16841684 27674846 31077491 33119078 55349692 62154982 66238156 95500903 124309964 191001806 256835681 382003612 513671362 1010131879 1027342724 1895726951 2020263758 2268656843 3791453902 4040527516 4537313686 5825555083 6971565919 7582907804 9074627372 11651110166 13083623711 13943131838 23302220332 26167247422 27886263676 52334494844 138388067423 276776134846 425265521059 553552269692 798101046371 850531042118 955104530903 1596202092742 1701062084236 1910209061806 3192404185484 3820418123612 58261376385083 116522752770166 233045505540332