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234502120 = 235291131789
BaseRepresentation
bin11011111101000…
…11011111101000
3121100020221102201
431332203133220
5440013031440
635134105544
75545143436
oct1576433750
9540227381
10234502120
11110408a06
126664b2b4
1339777568
1423203d56
15158c219a
hexdfa37e8

234502120 has 64 divisors (see below), whose sum is σ = 550962000. Its totient is φ = 89714688.

The previous prime is 234502067. The next prime is 234502133. The reversal of 234502120 is 21205432.

234502120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 91508356 + 142993764 = 9566^2 + 11958^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130186 + ... + 131974.

Almost surely, 2234502120 is an apocalyptic number.

234502120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275481000).

234502120 is an abundant number, since it is smaller than the sum of its proper divisors (316459880).

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

234502120 is a wasteful number, since it uses less digits than its factorization.

234502120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 234502120 is about 15313.4620514108. The cubic root of 234502120 is about 616.6644668374.

Adding to 234502120 its reverse (21205432), we get a palindrome (255707552).

The spelling of 234502120 in words is "two hundred thirty-four million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 904 1130 1160 1789 2260 3277 3578 4520 6554 7156 8945 13108 14312 16385 17890 26216 32770 35780 51881 65540 71560 103762 131080 202157 207524 259405 404314 415048 518810 808628 1010785 1037620 1617256 2021570 2075240 4043140 5862553 8086280 11725106 23450212 29312765 46900424 58625530 117251060 234502120