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233222030010 = 2325101113227053
BaseRepresentation
bin1101100100110100011…
…1011100001010111010
3211021222122101200010100
43121031013130022322
512310114314430020
6255050221300230
722564313355234
oct3311507341272
9737878350110
10233222030010
118a9aa835052
1239249704676
1318cba0971b8
14b40640b254
1560eed9da90
hex364d1dc2ba

233222030010 has 96 divisors (see below), whose sum is σ = 617803035408. Its totient is φ = 61031577600.

The previous prime is 233222029993. The next prime is 233222030023. The reversal of 233222030010 is 10030222332.

It is a happy number.

233222030010 is a `hidden beast` number, since 2 + 332 + 2 + 20 + 300 + 10 = 666.

233222030010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44328354849 + 188893675161 = 210543^2 + 434619^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913644 + ... + 1140696.

Almost surely, 2233222030010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233222030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308901517704).

233222030010 is an abundant number, since it is smaller than the sum of its proper divisors (384581005398).

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

233222030010 is a wasteful number, since it uses less digits than its factorization.

233222030010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227280 (or 227277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 233222030010 its reverse (10030222332), we get a palindrome (243252252342).

The spelling of 233222030010 in words is "two hundred thirty-three billion, two hundred twenty-two million, thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 113 202 226 303 339 505 565 606 678 909 1010 1017 1130 1515 1695 1818 2034 3030 3390 4545 5085 9090 10170 11413 22826 34239 57065 68478 102717 114130 171195 205434 227053 342390 454106 513585 681159 1027170 1135265 1362318 2043477 2270530 3405795 4086954 6811590 10217385 20434770 22932353 25656989 45864706 51313978 68797059 76970967 114661765 128284945 137594118 153941934 206391177 229323530 230912901 256569890 343985295 384854835 412782354 461825802 687970590 769709670 1031955885 1154564505 2063911770 2309129010 2591355889 5182711778 7774067667 12956779445 15548135334 23322203001 25913558890 38870338335 46644406002 77740676670 116611015005 233222030010