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230014552224 = 2538292890211
BaseRepresentation
bin1101011000110111101…
…1111000100010100000
3210222201002221220202210
43112031323320202200
512232032211132344
6253400042042120
722421655302112
oct3261573704240
9728632856683
10230014552224
1189604244566
12386b34a9340
13188c870ab52
14b1c04373b2
155eb34c4db9
hex358def88a0

230014552224 has 48 divisors (see below), whose sum is σ = 604516741920. Its totient is φ = 76579004160.

The previous prime is 230014552213. The next prime is 230014552237. The reversal of 230014552224 is 422255410032.

230014552224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 230014552191 and 230014552200.

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 7 ways as a sum of consecutive naturals, for example, 1365522 + ... + 1524689.

It is an arithmetic number, because the mean of its divisors is an integer number (12594098790).

Almost surely, 2230014552224 is an apocalyptic number.

230014552224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230014552224 is an abundant number, since it is smaller than the sum of its proper divisors (374502189696).

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

230014552224 is a wasteful number, since it uses less digits than its factorization.

230014552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891053 (or 2891045 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 230014552224 its reverse (422255410032), we get a palindrome (652269962256).

The spelling of 230014552224 in words is "two hundred thirty billion, fourteen million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 79584 2890211 5780422 8670633 11560844 17341266 23121688 34682532 46243376 69365064 92486752 138730128 277460256 2395984919 4791969838 7187954757 9583939676 14375909514 19167879352 28751819028 38335758704 57503638056 76671517408 115007276112 230014552224