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223233200130 = 2352310713123081
BaseRepresentation
bin1100111111100110111…
…1000101000000000010
3210100012111122112112010
43033321233011000002
512124140144401010
6250315114113350
722061632615233
oct3177157050002
9710174575463
10223233200130
118674435a346
123732041b856
13180877bb085
14ab3995508a
155c17e9a620
hex33f9bc5002

223233200130 has 128 divisors (see below), whose sum is σ = 568610482176. Its totient is φ = 55975462400.

The previous prime is 223233200119. The next prime is 223233200137. The reversal of 223233200130 is 31002332322.

It is a super-3 number, since 3×2232332001303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223233200097 and 223233200106.

It is not an unprimeable number, because it can be changed into a prime (223233200137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9660190 + ... + 9683270.

It is an arithmetic number, because the mean of its divisors is an integer number (4442269392).

Almost surely, 2223233200130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223233200130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284305241088).

223233200130 is an abundant number, since it is smaller than the sum of its proper divisors (345377282046).

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

223233200130 is a wasteful number, since it uses less digits than its factorization.

223233200130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23352.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 223233200130 its reverse (31002332322), we get a palindrome (254235532452).

The spelling of 223233200130 in words is "two hundred twenty-three billion, two hundred thirty-three million, two hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 131 138 214 230 262 321 345 393 535 642 655 690 786 1070 1310 1605 1965 2461 3013 3210 3930 4922 6026 7383 9039 12305 14017 14766 15065 18078 23081 24610 28034 30130 36915 42051 45195 46162 69243 70085 73830 84102 90390 115405 138486 140170 210255 230810 322391 346215 420510 530863 644782 692430 967173 1061726 1592589 1611955 1934346 2469667 2654315 3023611 3185178 3223910 4835865 4939334 5308630 6047222 7409001 7962945 9070833 9671730 12348335 14818002 15118055 15925890 18141666 24696670 30236110 37045005 45354165 56802341 69543053 74090010 90708330 113604682 139086106 170407023 208629159 284011705 323526377 340814046 347715265 417258318 568023410 647052754 695430530 852035115 970579131 1043145795 1617631885 1704070230 1941158262 2086291590 3235263770 4852895655 7441106671 9705791310 14882213342 22323320013 37205533355 44646640026 74411066710 111616600065 223233200130