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230440302 = 2351373461
BaseRepresentation
bin11011011110000…
…11110101101110
3121001121120200000
431233003311232
5432443042202
634511045130
75465465421
oct1557036556
9531546600
10230440302
11109094234
12652107a6
1338984811
14228679b8
151536d91c
hexdbc3d6e

230440302 has 48 divisors (see below), whose sum is σ = 521709552. Its totient is φ = 76230720.

The previous prime is 230440277. The next prime is 230440307. The reversal of 230440302 is 203044032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230440307) 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, 64852 + ... + 68312.

It is an arithmetic number, because the mean of its divisors is an integer number (10868949).

Almost surely, 2230440302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230440302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260854776).

230440302 is an abundant number, since it is smaller than the sum of its proper divisors (291269250).

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

230440302 is a wasteful number, since it uses less digits than its factorization.

230440302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230440302 is about 15180.2602744485. The cubic root of 230440302 is about 613.0832889729.

Adding to 230440302 its reverse (203044032), we get a palindrome (433484334).

It can be divided in two parts, 23044030 and 2, that added together give a palindrome (23044032).

The spelling of 230440302 in words is "two hundred thirty million, four hundred forty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 411 486 822 1233 2466 3461 3699 6922 7398 10383 11097 20766 22194 31149 33291 62298 66582 93447 186894 280341 474157 560682 841023 948314 1422471 1682046 2844942 4267413 8534826 12802239 25604478 38406717 76813434 115220151 230440302