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234233010 = 2325112137157
BaseRepresentation
bin11011111011000…
…01110010110010
3121022202021021200
431331201302302
5434430424020
635124232030
75542643034
oct1575416262
9538667250
10234233010
11110244800
126653b616
13396b1c1b
1423173c54
151586c590
hexdf61cb2

234233010 has 144 divisors (see below), whose sum is σ = 678584088. Its totient is φ = 56010240.

The previous prime is 234233003. The next prime is 234233011. The reversal of 234233010 is 10332432.

It can be written as a sum of positive squares in 4 ways, for example, as 175112289 + 59120721 = 13233^2 + 7689^2 .

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

It is not an unprimeable number, because it can be changed into a prime (234233011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1491852 + ... + 1492008.

Almost surely, 2234233010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292044).

234233010 is an abundant number, since it is smaller than the sum of its proper divisors (444351078).

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

234233010 is a wasteful number, since it uses less digits than its factorization.

234233010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

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

The square root of 234233010 is about 15304.6728158429. The cubic root of 234233010 is about 616.4284858923.

Adding to 234233010 its reverse (10332432), we get a palindrome (244565442).

The spelling of 234233010 in words is "two hundred thirty-four million, two hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 137 157 165 198 242 274 314 330 363 411 471 495 605 685 726 785 822 942 990 1089 1210 1233 1370 1413 1507 1570 1727 1815 2055 2178 2355 2466 2826 3014 3454 3630 4110 4521 4710 5181 5445 6165 7065 7535 8635 9042 10362 10890 12330 13563 14130 15070 15543 16577 17270 18997 21509 22605 25905 27126 31086 33154 37994 43018 45210 49731 51810 56991 64527 67815 77715 82885 94985 99462 107545 113982 129054 135630 149193 155430 165770 170973 189970 193581 215090 236599 248655 284955 298386 322635 341946 387162 473198 497310 569910 645270 709797 745965 854865 967905 1182995 1419594 1491930 1709730 1935810 2129391 2365990 2602589 3548985 4258782 5205178 7097970 7807767 10646955 13012945 15615534 21293910 23423301 26025890 39038835 46846602 78077670 117116505 234233010