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233213201032 = 23773216126399
BaseRepresentation
bin1101100100110010010…
…1110000101010001000
3211021222000210010001011
43121030211300222020
512310110034413112
6255045304133304
722564145333620
oct3311445605210
9737860703034
10233213201032
118a9a5854779
1239246767234
1318cb82c5656
14b40518d880
1560ee207aa7
hex364c970a88

233213201032 has 64 divisors (see below), whose sum is σ = 506841984000. Its totient is φ = 98530007040.

The previous prime is 233213201029. The next prime is 233213201059. The reversal of 233213201032 is 230102312332.

It is a junction number, because it is equal to n+sod(n) for n = 233213200994 and 233213201012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8820969 + ... + 8847367.

It is an arithmetic number, because the mean of its divisors is an integer number (7919406000).

Almost surely, 2233213201032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233213201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253420992000).

233213201032 is an abundant number, since it is smaller than the sum of its proper divisors (273628782968).

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

233213201032 is a wasteful number, since it uses less digits than its factorization.

233213201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28646 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233213201032 its reverse (230102312332), we get a palindrome (463315513364).

The spelling of 233213201032 in words is "two hundred thirty-three billion, two hundred thirteen million, two hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 2161 4088 4322 8644 15127 17288 26399 30254 52798 60508 105596 121016 157753 184793 211192 315506 369586 631012 739172 1104271 1262024 1478344 1927127 2208542 3854254 4417084 7708508 8834168 13489889 15417016 26979778 53959556 57048239 107919112 114096478 228192956 399337673 456385912 798675346 1597350692 3194701384 4164521447 8329042894 16658085788 29151650129 33316171576 58303300258 116606600516 233213201032