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233223131196 = 22351121812863
BaseRepresentation
bin1101100100110100101…
…1101001000000111100
3211021222201110121200000
43121031023221000330
512310120110144241
6255050301034300
722564325622546
oct3311513510074
9737881417600
10233223131196
118aa00417420
1239249b55990
1318cba3914a3
14b406616696
156100019eb6
hex364d2e903c

233223131196 has 72 divisors (see below), whose sum is σ = 666950129664. Its totient is φ = 70673672880.

The previous prime is 233223131191. The next prime is 233223131261. The reversal of 233223131196 is 691131322332.

233223131196 is a `hidden beast` number, since 2 + 3 + 322 + 313 + 1 + 19 + 6 = 666.

233223131196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233223131196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233223131191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10895740 + ... + 10917123.

Almost surely, 2233223131196 is an apocalyptic number.

It is an amenable number.

233223131196 is an abundant number, since it is smaller than the sum of its proper divisors (433726998468).

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

233223131196 is a wasteful number, since it uses less digits than its factorization.

233223131196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21812893 (or 21812879 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The spelling of 233223131196 in words is "two hundred thirty-three billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 21812863 43625726 65438589 87251452 130877178 196315767 239941493 261754356 392631534 479882986 588947301 719824479 785263068 959765972 1177894602 1439648958 1766841903 2159473437 2355789204 2879297916 3533683806 4318946874 5300525709 6478420311 7067367612 8637893748 10601051418 12956840622 19435260933 21202102836 25913681244 38870521866 58305782799 77741043732 116611565598 233223131196