Search a number
-
+
230700177936 = 24321602084569
BaseRepresentation
bin1101011011011011001…
…1010101101000010000
3211001110220002022102200
43112312303111220100
512234433221143221
6253552053243200
722444652104644
oct3266663255020
9731426068380
10230700177936
1189926266288
1238865033500
13189a7786637
14b24750cc24
1560037a8426
hex35b6cd5a10

230700177936 has 30 divisors (see below), whose sum is σ = 645640081710. Its totient is φ = 76900059264.

The previous prime is 230700177923. The next prime is 230700177941. The reversal of 230700177936 is 639771007032.

230700177936 is digitally balanced in base 2, 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 only one way, i.e., 195137761536 + 35562416400 = 441744^2 + 188580^2 .

It is a super-2 number, since 2×2307001779362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230700177891 and 230700177900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 801042141 + ... + 801042428.

It is an arithmetic number, because the mean of its divisors is an integer number (21521336057).

Almost surely, 2230700177936 is an apocalyptic number.

It is an amenable number.

230700177936 is an abundant number, since it is smaller than the sum of its proper divisors (414939903774).

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

230700177936 is a wasteful number, since it uses less digits than its factorization.

230700177936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602084583 (or 1602084574 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 230700177936 in words is "two hundred thirty billion, seven hundred million, one hundred seventy-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1602084569 3204169138 4806253707 6408338276 9612507414 12816676552 14418761121 19225014828 25633353104 28837522242 38450029656 57675044484 76900059312 115350088968 230700177936