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230294837319 = 32467308310093
BaseRepresentation
bin1101011001111010100…
…1000101100001000111
3211000102122100212122020
43112132221011201013
512233120434243234
6253443533334223
722431630550611
oct3263651054107
9730378325566
10230294837319
1189738482938
1238771337373
13189417c5211
14b209757db1
155eccddc549
hex359ea45847

230294837319 has 16 divisors (see below), whose sum is σ = 307314333312. Its totient is φ = 153402679008.

The previous prime is 230294837303. The next prime is 230294837359. The reversal of 230294837319 is 913738492032.

230294837319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230294837319 - 24 = 230294837303 is a prime.

It is a super-2 number, since 2×2302948373192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230294837359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22812237 + ... + 22822329.

It is an arithmetic number, because the mean of its divisors is an integer number (19207145832).

Almost surely, 2230294837319 is an apocalyptic number.

230294837319 is a deficient number, since it is larger than the sum of its proper divisors (77019495993).

230294837319 is a wasteful number, since it uses less digits than its factorization.

230294837319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15646.

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 230294837319 in words is "two hundred thirty billion, two hundred ninety-four million, eight hundred thirty-seven thousand, three hundred nineteen".

Divisors: 1 3 2467 3083 7401 9249 10093 30279 7605761 22817283 24899431 31116719 74698293 93350157 76764945773 230294837319