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233274330 = 2345972969
BaseRepresentation
bin11011110011101…
…11101111011010
3121020221120020000
431321313233122
5434204234310
635051513430
75531541042
oct1571675732
9536846200
10233274330
1110a74a503
1266158876
1339437763
1422da4722
151572d4c0
hexde77bda

233274330 has 80 divisors (see below), whose sum is σ = 633928680. Its totient is φ = 61544448.

The previous prime is 233274311. The next prime is 233274373. The reversal of 233274330 is 33472332.

It is a happy number.

233274330 is a `hidden beast` number, since 2 + 3 + 327 + 4 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103245921 + 130028409 = 10161^2 + 11403^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233274294 and 233274303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77086 + ... + 80054.

Almost surely, 2233274330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233274330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316964340).

233274330 is an abundant number, since it is smaller than the sum of its proper divisors (400654350).

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

233274330 is a wasteful number, since it uses less digits than its factorization.

233274330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 233274330 is about 15273.3208569715. The cubic root of 233274330 is about 615.5863533334.

The spelling of 233274330 in words is "two hundred thirty-three million, two hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 2969 4365 5238 5938 7857 8730 8907 13095 14845 15714 17814 26190 26721 29690 39285 44535 53442 78570 80163 89070 133605 160326 240489 267210 287993 400815 480978 575986 801630 863979 1202445 1439965 1727958 2404890 2591937 2879930 4319895 5183874 7775811 8639790 12959685 15551622 23327433 25919370 38879055 46654866 77758110 116637165 233274330