Search a number
-
+
233452530 = 2355234177
BaseRepresentation
bin11011110101000…
…11001111110010
3121021021121200000
431322203033302
5434230440110
635055410430
75533212423
oct1572431762
9537247600
10233452530
1110a861383
1266223a16
133949a8bc
142300d64a
15157661c0
hexdea33f2

233452530 has 96 divisors (see below), whose sum is σ = 656982144. Its totient is φ = 59533056.

The previous prime is 233452477. The next prime is 233452559. The reversal of 233452530 is 35254332.

It is a super-3 number, since 3×2334525303 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 233452494 and 233452503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53802 + ... + 57978.

It is an arithmetic number, because the mean of its divisors is an integer number (6843564).

Almost surely, 2233452530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233452530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328491072).

233452530 is an abundant number, since it is smaller than the sum of its proper divisors (423529614).

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

233452530 is a wasteful number, since it uses less digits than its factorization.

233452530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 233452530 is about 15279.1534451356. The cubic root of 233452530 is about 615.7430637711.

The spelling of 233452530 in words is "two hundred thirty-three million, four hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 810 1035 1215 1242 1863 2070 2430 3105 3726 4177 5589 6210 8354 9315 11178 12531 18630 20885 25062 27945 37593 41770 55890 62655 75186 96071 112779 125310 187965 192142 225558 288213 338337 375930 480355 563895 576426 676674 864639 960710 1015011 1127790 1441065 1691685 1729278 2030022 2593917 2882130 3383370 4323195 5075055 5187834 7781751 8646390 10150110 12969585 15563502 23345253 25939170 38908755 46690506 77817510 116726265 233452530