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230001154344 = 2335132700079
BaseRepresentation
bin1101011000110100100…
…0110001100100101000
3210222200011202020100000
43112031020301210220
512232020243414334
6253354442543000
722421433361203
oct3261510614450
9728604666300
10230001154344
11895a7723535
12386aab07a60
13188c59c9800
14b1bc74a93a
155eb222a299
hex358d231928

230001154344 has 144 divisors (see below), whose sum is σ = 699505934400. Its totient is φ = 70769484864.

The previous prime is 230001154333. The next prime is 230001154349. The reversal of 230001154344 is 443451100032.

It is a happy number.

230001154344 is a `hidden beast` number, since 2 + 300 + 0 + 1 + 15 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230001154349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21504 + ... + 678575.

It is an arithmetic number, because the mean of its divisors is an integer number (4857680100).

Almost surely, 2230001154344 is an apocalyptic number.

230001154344 is a gapful number since it is divisible by the number (24) 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 230001154344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349752967200).

230001154344 is an abundant number, since it is smaller than the sum of its proper divisors (469504780056).

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

230001154344 is a wasteful number, since it uses less digits than its factorization.

230001154344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700126 (or 700097 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 230001154344 its reverse (443451100032), we get a palindrome (673452254376).

The spelling of 230001154344 in words is "two hundred thirty billion, one million, one hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 312 324 338 351 468 486 507 648 676 702 936 972 1014 1053 1352 1404 1521 1944 2028 2106 2808 3042 3159 4056 4212 4563 6084 6318 8424 9126 12168 12636 13689 18252 25272 27378 36504 41067 54756 82134 109512 164268 328536 700079 1400158 2100237 2800316 4200474 5600632 6300711 8400948 9101027 12601422 16801896 18202054 18902133 25202844 27303081 36404108 37804266 50405688 54606162 56706399 72808216 75608532 81909243 109212324 113412798 118313351 151217064 163818486 170119197 218424648 226825596 236626702 245727729 327636972 340238394 354940053 453651192 473253404 491455458 655273944 680476788 709880106 737183187 946506808 982910916 1064820159 1360953576 1419760212 1474366374 1965821832 2129640318 2211549561 2839520424 2948732748 3194460477 4259280636 4423099122 5897465496 6388920954 8518561272 8846198244 9583381431 12777841908 17692396488 19166762862 25555683816 28750144293 38333525724 57500288586 76667051448 115000577172 230001154344