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233213230032 = 243171915042133
BaseRepresentation
bin1101100100110010010…
…1110111101111010000
3211021222000211120211020
43121030211313233100
512310110041330112
6255045304515440
722564145514306
oct3311445675720
9737860746736
10233213230032
118a9a5874542
123924677bb80
1318cb8305903
14b40519a276
1560ee21148c
hex364c977bd0

233213230032 has 80 divisors (see below), whose sum is σ = 671480861760. Its totient is φ = 69314144256.

The previous prime is 233213230031. The next prime is 233213230039. The reversal of 233213230032 is 230032312332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 233213229984 and 233213230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233213230031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7505563 + ... + 7536570.

It is an arithmetic number, because the mean of its divisors is an integer number (8393510772).

Almost surely, 2233213230032 is an apocalyptic number.

It is an amenable number.

233213230032 is an abundant number, since it is smaller than the sum of its proper divisors (438267631728).

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

233213230032 is a wasteful number, since it uses less digits than its factorization.

233213230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042180 (or 15042174 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 233213230032 its reverse (230032312332), we get a palindrome (463245542364).

The spelling of 233213230032 in words is "two hundred thirty-three billion, two hundred thirteen million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 15042133 30084266 45126399 60168532 90252798 120337064 180505596 240674128 255716261 285800527 361011192 511432522 571601054 722022384 767148783 857401581 1022865044 1143202108 1534297566 1714803162 2045730088 2286404216 3068595132 3429606324 4091460176 4572808432 4858608959 6137190264 6859212648 9717217918 12274380528 13718425296 14575826877 19434435836 29151653754 38868871672 58303307508 77737743344 116606615016 233213230032